The first term of the sequence above is 13. Each term after the first is 4 less than the previous term. What…

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The first term of the sequence above is 13. Each term after the first is 4 less than the previous term. What is the first negative number in the sequence?

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1. The first term of the sequence above is 13. Each term after the first is 4 less than the previous term. What is the first negative number in the sequence?

Identify the first term and common difference.
The first term is $a_1 = 13$ .
Each term is 4 less than the previous, so the common difference is $d = -4$ .
The formula for the $n$ -th term of an arithmetic sequence is $a_n = a_1 + (n-1)d$ .
Set up an inequality to find when the terms become negative.
We want to find the smallest integer

The first term of the sequence above is 13. Each term after the first is 4 less than the previous term. What is the first negative number in the sequence?

Step-by-step solution

Identify the first term and common difference.

Set up an inequality to find when the terms become negative.

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