The 50th term of an arithmetic sequence is 86, and the common difference is 2. Find the first...
Question:
The 50th term of an arithmetic sequence is 86, and the common difference is 2. Find the first three terms of the sequence.
Arithmetic Sequences:
An arithmetic sequence is a sequence of numbers where each number is simply the last number plus or minus a value, known as the common difference. To find any term in these sequences, we use the formula: {eq}N = a_1 + (n - 1)d \\ {/eq} Where N is the value of the term, a is the initial value, n is the number of the term, and d is the common difference.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerTo find the first three terms, we first have to know what the first term was. To do so, we can calculate it from the formula and the given term. {eq}N...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
Arithmetic Sequence: Formula & Definition
from
Chapter 26 / Lesson 3
25K
Discover the arithmetic sequence definition and how math uses it. Know its formula and how to solve problems relating to it through sample calculations.
Related to this Question
- Is the sequence a_n=9_n-16 arithmetic? If yes, find the first term and its common difference.
- Given the arithmetic sequence with a_1 = 35 and a_k+1 = a_k - 3, find: a) the common difference b) the first five terms of the arithmetic sequence c) the nth term of the sequence as a function of n.
- Find the indicated term for the arithmetic sequence with the first term a_1 and the common difference d. Find a_{31} when a_1 = -4, d = 2/3
- For the arithmetic sequence 2/3, 1/15, -8/15, a. determine the common difference, and b. find the next three terms of the sequence.
- The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference.
- The sum of the first 20 terms of an arithmetic sequence with a common difference of 3 is 650. Find the first term.
- Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are the first six terms of this sequence?
- If -20 is the 15th term in an arithmetic sequence with a common difference of -7, what is the first term in the sequence?
- Find the indicated term of the sequence with the given first term, a_1, and the common difference, d. Find a_12 when a_1 = -8, d = -2.
- In a sequence, the first term is 25 and the common difference is -7. Find the seventh term of this sequence.
- Find the sum of the first 25 terms of the arithmetic sequence whose first term is 7 and the common difference is 3.
- In an arithmetic sequences, the 1st term is 13 and the 15th term is 111. Find the common difference and the sum of the first 20 terms.
- In a sequence, the first term is 4 and the common difference is 3. Find the fifth term of this sequence.
- What are the first four terms of an arithmetic sequence if the common difference is 1.5 and the first term is 15? a. 15, 30, 45, 60 b. 15, 16.5, 18, 19.5 c. 15, 22.5, 33.75, 50.625 d. none of the abo
- An arithmetic sequence has a common difference of 9 and a(41) = 25. Find a rule for this arithmetic sequence.
- In a sequence, the first term is -50 and the common difference is 8. Find the sixth term of this sequence.
- Write the first four terms of the arithmetic sequence with a first term of 5 and a common difference of 3.
- Write the first five terms of an arithmetic sequence with a first term of 18 and a common difference of 6.
- The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
- For an arithmetic sequence, the sum of the first 8 terms of the sequence is 52, and the sum of the first 16 terms of the sequence is -88. Find the value of the first term and the common difference.
- What is the common difference of the sequence if the first term of an arithmetic sequence is -3 and the fifteenth term is 53 ?
- Given the arithmetic sequence with a_1 = 15 and a_(k + 1) = a_k + (5/2), find: a) the common difference b) the nth term of the sequence as a function of n.
- The first two terms of the arithmetic sequence are given. Find the missing term. a_1 = 5,\; a_2 = -1,\; a_{10} = ?
- The first two terms of the arithmetic sequence are given. Find the missing term. a_1 = 3,\; a_2 = 13,\; a_9 = ?
- The first two terms of the arithmetic sequence are given below. Find the missing term. a_1 = - 0.7, a_2 = -13.8, a_8 = ?
- The first two terms of the arithmetic sequence are given. Find the missing term. a_1 = 1/8,\; a_2 = 3/4,\; a_7 = ?
- The first two terms of the arithmetic sequence are given below. Find the missing term. a_1 = 5, a_2 = 11, a_{10} =
- The first two terms of the arithmetic sequence are given. Find the missing term. a_1 = 4.2, a_2 = 6.6, a_7 = _____
- The first two terms of an arithmetic sequence are given below. Find the missing term. a_1 = 3, a_2 = 13, a_9 =
- The first two terms of the arithmetic sequence are given. Find the missing term. a_1 = -0.7,\; a_2 = -13.8,\; a_8 = ?
- Find the common difference d and the nth term an of the arithmetic sequence with the specified terms. 4th term is 2; 6th term is 8
- Find the first five terms in the arithmetic sequence in a_n=(2)^{n - 1}.
- Find the first term and the common difference of the sequence: 11, 8, 5, 2. -1, ...
- what is the 14th term of the arithmetic sequence with a first term of 7 and a common difference of 10?
- How do you write the first five terms of the arithmetic sequence given that the first term is 5, and the common difference is 6?
- Find the first term of the arithmetic sequence with: a_3 = 7, a_6 = 13
- How do you find the 50th term of an arithmetic sequence?
- 1. Find the first three terms of the sequence a_n= \frac{(-6)^{sin ((2n+1)^n/2){(n+1)!} 2. Find the first three terms of the sequence a_n= \frac{n!}{(n+4)!} 3. 5+.0005+.0000005 +...= 4. \sum_{n
- Find the first term and the common difference of the arithmetic sequence. Give the recursive formula for the sequence. Find a formula of the n^{th} term. 9^{th} term is -5; 15^{th} term is 31.
- Find the common difference in the following arithmetic sequence. 7, 2, -3, -8, ...
- Find the common difference in the following arithmetic sequence. 2x, 3x, 4x, 5x, ...
- Find the common difference in the following arithmetic sequence. x + 1, x + 4, x + 7, x + 10, ...
- Find the first term of the arithmetic sequence given a7 = 21 and a15 = 42.
- Find the common difference for the arithmetic sequence that has 17 as its twelfth term and 71 as its sixth term.
- Find the 50th term of the given sequence: 5, -2, -9, -16, ...
- Find the common difference of this arithmetic sequence: a_n = -8 n +14.
- Write the first five terms of the arithmetic sequence. Find the common difference and write the nth term of the sequence as a function of n. a_1 = 6, a_{k+1} = a_k +5
- Write the first five terms of the arithmetic sequence. Find the common difference and write the nth term of the sequence as a function of n. a_1 = 15, a_{k+1} = a_k +4
- Write the first five terms of the arithmetic sequence. Find the common difference and write the nth term of the sequence as a function of n. a_1 = 1.5, a_{k+1} = a_k - 2.5
- Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. (Assume n begins with 1.) a_n = 150 - 7n
- Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. (Assume n begins with 1.) a_n = 3 - 4(n + 6)
- Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. (Assume n begins with 1.) a_n = (-1)^{2n+1}
- Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. (Assume n begins with 1.) a_n = \frac{1}{n+1}
- Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. (Assume n begins with 1.) a_n = 3 + 2(-1)^n
- Find the indicated term in the arithmetic sequence: 90th term of 1 , -2 , -5 , . . .
- If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?
- Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d. |n| 1| 2| 3| 4 |f(n)| -5| 3| 11| 19
- Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence: 1, 2.5, 4, 5.5...
- Is the following sequence arithmetic? If so, find the common difference. 13, 20, 27, 34, ...
- (a) The first term of an arithmetic sequence is -8 and the common difference is 3. (i) Find the seventh term of the sequence. (ii) The last term of the sequence is 100. How many terms are t
- How do you find the common difference in an arithmetic sequence?
- How to find the first term of an arithmetic sequence.
- How to find the first term in an arithmetic sequence?
- In a sequence, the first term is 82 and the common difference is -21. Find the fourth term of this sequence.
- Find the first four terms and the 100th term of the sequence whose nth term is given. a_n = n - 4
- What is the first term of an arithmetic sequence with a common difference of 5 and the sixth term of 40?
- Consider the following arithmetic sequence. If a_5= 9\ and\ a_{14}= 18, find the term a_1, the common difference, and a_{24}.
- Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. (Assume n begins with 1.) a_n = 2^n + n
- Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. (Assume n begins with 1.) a_n = 8 + 13n
- Write the first five terms of the sequence. Determine whether the sequence is arithmetic. If so, then find the common difference. (Assume that n begins with 1.) a_n = 2^{n-1}
- Write the first five terms of the sequence. Determine whether the sequence is arithmetic. If so, then find the common difference. (Assume that n begins with 1.) a_n = 1 + (n - 1)4
- Use the formula for the general term (nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term "a_1" and common difference "d". Find a_8 when a_1 = -8, d = -2.
- Identify the common difference in the arithmetic sequence: 13, 20, 27, 34, ...
- Determine whether the sequence is arithmetic. If so, find the common difference. 3, \frac{5}{2}, 2, \frac{3}{2} , 1, ...
- Determine whether the sequence is arithmetic. If so, then find the common difference. 12, 22, 32, 42, 52,...
- Determine whether the sequence is arithmetic. If so, then find the common difference. 0,1,3,6,10, ...
- Determine whether the sequence is arithmetic. If so, then find the common difference. 10, 8, 6, 4, 2, ...
- Determine whether the sequence is arithmetic. If so, then find the common difference. 4, 9, 14, 19, 24, ...
- Determine whether the sequence is arithmetic. If so, find the common difference. 15, 19, 23, 27 ......
- Determine whether the sequence is arithmetic. If so, find the common difference. 256,268,280,292.........
- Determine whether the sequence is arithmetic. If so, then find the common difference. 1/2, 1, 3/2, 2, 5/2, ...
- Find the 13th term of a sequence if the 41st term is 48 and the common difference is 13.
- The third term of an arithmetic sequence is 14 and the ninth term is -1. Find the first four terms of the sequence.
- Find the nth term of the arithmetic sequence a_n whose initial term a and common difference d are given. a_1 = 0 d = pi
- How can you solve an arithmetic sequence without the common difference?
- The first three terms of an arithmetic sequence are 2k+1,5k,7k+2. what is the value of k ?
- The consecutive terms of an arithmetic progression are 5-x, 8, 2x. Find the common difference of the progression.
- Find the next four terms in the arithmetic sequence. -15, -7, 1, ...
- Find the next four terms in the arithmetic sequence. a - 6, a - 2, a + 2, ...
- Find the next three terms of the arithmetic sequence. 3/4, 1/2, 1/4 , ...
- Find the next four terms in the arithmetic sequence. 3, 4.3, 5.6
- If an arithmetic sequence has a 1st term of 3 and a 10th term of 21, what is the sum of the first 10 terms?
- Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 7th term is -12, 16th term is 51 What is the first term of the sequence?
- a. Write the first five terms of an arithmetic sequence with the given first term and common difference. b. Write a recursive formula to define the sequence. a_1=3,d=10
- The nth term of a different arithmetic sequence is 3n + 5 . Is 108 a term of this sequence?
- Find the common difference d and the n^{th} term an of the arithmetic sequence whose 6^{th} term is 11 and 12^{th} term is 47.
- Find the 20th term of the arithmetic sequence in which a_1 = 3 and d = 7. a. 143 b. 136 c. 140 d. 133
- What is the fourth term of an arithmetic progression with a first-term of 5 and a common difference of -3?
- If the 6th term of an arithmetic sequence is 48 and the sum of the first 6 term is 300, what is the first term and the constant difference?
Explore our homework questions and answers library
Browse
by subject