Question

1. General term for -2, -5, -8, -11
2. General term for 22, 20, 18, 16

Answer 1

The general terms for the given arithmetic sequences are given as follows:

1. $a_n = -2 -3(n - 1)$

2. $a_n = 22 - 2(n - 1)$

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The general term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1)d$

For sequence 1, given by -2, -5, -8, -11, the first term and the common ratio are given as follows:

$a_1 = -2, d = -3$

Hence the general term that defines sequence 1 is presented below:

$a_n = -2 -3(n - 1)$

For sequence 2, represented by 22, 20, 18, 16, the first term and the common ratio are given as follows:

$a_1 = 22, d = -2$

Hence the general term that defines sequence 2 is presented below:

$a_n = 22 - 2(n - 1)$

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

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