Question

. Find the eleventh term from the last term of the AP: 27, 23, 19, ..., –65.

Answer 1

Heya !!!

This is your answer.....

Given :::
27, 23, 19, ....., -65.

Here.....
a = 27.
d = 23 -27 = -4.
l = -65.


we know that .....
an = a +(n-1)d in case of n from first term..
but here. we have to find from last term... so the new formula for it is.....
an = l - (n-1)d
a11 = -65 - (11-1)(-4)
= -65 - 10 (-4)
= -65 + 40
= -15.

Hence the eleventh term from last term is -15.

Hope it helpsss

Answer 2

27, 23, 19, .................., - 65

d = a2 - a1 = 23 - 27 = - 4

We are taking 11th term from the last we  will take d = 4 and a1 = - 65

Hence, a11 = a1 + (11 – 1)d

= - 65 + 10(4)

= - 65 + 40

= - 25