Question

Given: an=3+an−1 and a1=5 What is the explicit rule for the arithmetic sequence?

Answer 1

The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given:

$\rm a_n=3+a_n_-_1$ and

$\rm a_1=5$

$\rm a_n-a_n_-_1= 3$

The above expression represents the common ratio:

d = 3

First term:

a = 5

The explicit rule for the arithmetic sequence:

a(n) = 5 + (n - 1)3

a(n) = 3n + 2

Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

Learn more about the sequence here:

brainly.com/question/21961097

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