Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify the formula and reduce any fractions to lowest terms. a24=83/3 and d=4/3

Question

Mathematics

Jermaine

17 March, 02:46

Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify the formula and reduce any fractions to lowest terms. a24=83/3 and d=4/3

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Answers (1)

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Camila Watkins · Answer 1

an = 4/3n - 13/3.

Step-by-step explanation:

The first term is a1,

a24 = a1 + 23d

83/3 = a1 + 4/3 * 23

a1 = 83/3 - 92/3

a1 = - 9/3 = - 3.

So the nth term an = - 3 + 4/3 (n - 1)

an = - 3 + 4/3 n - 4/3

an = 4/3n - 13/3