Find the 41st term an arithmetic sequence if the common difference is -4 and the first term is 2

-158

162

-162

158

ANSWER

-158

EXPLANATION

The general term of an arithmetic sequence is

where

is the first term and

is the common difference.

Since we want to find the 41st term, we put n=41 to obtain,

The 41st term is -158.

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.