Question

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

-158

162

-162

158

Answer 1

-158

Step-by-step explanation

The general term of an arithmetic sequence is

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

where

`a_1=2`

is the first term and

`d = - 4`

is the common difference.

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

`a_(41)=2+ - 4(41-1)`

`a_(41)=2- 4(40)`

`a_(41) = - 158`

The 41st term is -158.