Question

find the 8th term from the end of the a.p 7,10,13,.....+184

Answer 1

Given a = 7, d = (10 - 7) = 3, I = 184 and n=8

nth term from the end = (I - (n - 1) d)

= (184 - (8 - 1) 3)

= (184 - 7 * 3)

= 184 - 21

= 163

Answer 2

Here !!
first term is 7 say "a"
and last term is 184 say "an"
if the no. of terms are n

D ( common difference) = 13-10 = 10-7 => 3

Now we have to find the 8th last term so it will be easier for us if we will reverse the AP
=> 184,181, ..........13,1 0,7
now D = -3 and a = 184
an = 7

Now we have to find 8th term :-
use an = a+(n-1)d
just plug in the values....

a8 = 184 + (8-1)×-3
a8 = 184 -21
a8 = 163