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For the arithmetic sequence 2/3, 1/15, -8/15, a. determine the common difference, and b. find the...

Question:

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.

Arithmetic Sequence:

The common difference between the arithmetic sequence is the difference of any two consecutive terms. That is:

{eq}d = a_{n} - a_{n-1} {/eq}

In arithmetic sequence each term is the sum of its previous term and common difference.

Answer and Explanation: 1

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The given arithmetic sequence is:

{eq}\dfrac{2}{3}, \, \dfrac{1}{15}, \, -\dfrac{8}{15}, \, ... {/eq}

(a)

Finding the common difference.

{eq}\beg...

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How and Why to Use the General Term of an Arithmetic Sequence

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Chapter 21 / Lesson 5
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Learn the definition of arithmetic sequence and general term of a sequence. Learn the formula for general term of a sequence and see examples.


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