Question

PLEASE ANSWER + BRAINLIEST !!! Write a rule for the sequence, then find the indicated term.

Answer 1

ANSWER

The rule is:

$a_{n}=49 - 20n$

The indicated term is:

$a_{32}=-591$

EXPLANATION

The terms of the sequence are;

{29,9,-11,-31,...};

The first term of the sequence is

$a_1=29$

The common difference is

$d = 9 - 29 = - 20$

The nth term is given by:

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

Substitute the values to obtain,

$a_{n}=29 - 20(n-1)$

$a_{n}=29 - 20n + 20$

$a_{n}=49 - 20n$

The indicated term is

$a_{32}=49 - 20(32)$

$a_{32}=-591$