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What is the common difference of the sequence if the first term of an arithmetic sequence is -3...

Question:

What is the common difference of the sequence if the first term of an arithmetic sequence is {eq}-3 {/eq} and the fifteenth term is {eq}53 {/eq} ?

Arithmetic Sequence:

In mathematics, an arithmetic sequence is a list of numbers, such that the difference between each consecutive number in the list is constant, and this constant difference is called the common difference of the arithmetic sequence. If an arithmetic sequence has a first term of {eq}a_{1} {/eq}, an nth term of {eq}a_{n} {/eq}, and a common difference of d, then we have the formula {eq}a_{n}=a_{1}+(n-1)d {/eq} that we can use to solve for different parts of the sequence.

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We are given that our sequence is an arithmetic sequence, the first term of the sequence is -3, and the 15th term of the sequence is 53. Our formula...

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Arithmetic Sequences: Definition & Finding the Common Difference

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Chapter 21 / Lesson 4
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Learn the Arithmetic sequence formula and meaning. Discover how to find the common difference and read arithmetic sequence examples.


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