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DeanR

First value 9.5 and a common difference of 2, so

[tex]a_n = 9.5 + 2(n-1)[/tex]

Third choice

The explicit rule for the arithmetic sequence is a(n) = 9.5 + 2(n -1) option third is correct.

What is a sequence?

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

We have a arithmetic sequence:

9.5, 11.5, 13.5 , 15.5....

Common difference d = 11.5 – 9.5 = 2

First term = 9.5

Explicit rule:

a(n) = 9.5 + (n-1)(2)

a(n) = 9.5 + 2(n -1)

Thus, the explicit rule for the arithmetic sequence is a(n) = 9.5 + 2(n -1) option third is correct.

Learn more about the sequence here:

brainly.com/question/21961097

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