Question

Find the 6th term from the end fo the AP 17, 14, 11,... , (-40).

Answer 1

Given,

AP... 17,14,11..-40

according to the question we have to find the 6th term from the end.

The AP we get is -40,-37,-31......14,17

Common difference, d =3

$a_1$=-40

n=6

therefore $a_6=a+(n-1)d$

$a_6$ = -40+(6-1)3

$a_6$ ​​​​​​​= -40+5$\times$ 3

$a_6$ = -40+15

$a_6$ ​​​​​​​ = -25

so the 6th term is -25