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# ​ What is the recursive rule for the sequence?

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I think it is D.

May 16, 2018

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Hello Hev123!

The nth term of an arithmetic sequence with the first term A and common difference B, can be expressed as:

$$a_n=A+B(n-1)$$

The explicit rule given is in simplified form, so we need to find the first term and common difference.

We plug 1 for n, in the given rule, and we get:

$$a_1=48-11\cdot1=37$$

We know the first term in 37. To find the common difference, we want to find the second term.

$$a_2=48-11\cdot2=26$$

The common difference is 26 - 37 = -11.

You are correct.

I hope this helped,

Gavin

May 16, 2018