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

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Math

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.

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.

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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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Accepted Answer

The given arithmetic sequence is:

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

(a)

Finding the common difference.

{eq}\beg...