Question

Find the 11th term from the last of an A.P. 12,8,4,.......,-84​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\fontsize{18}{10}{\textup{\textbf{The required 11th term of the A.P. is -28.}}}$

Step-by-step explanation:

The given arithmetic progression is

12,    8,    4,   .  .  .  ,  -84.

Here, the first term a and common difference d are given by

$a=12,~~~d=8-12=4-8=...=-4.$

We know that the n-th term of A.P. with first term a and common difference d is given by

$a_n=a+(n-1)d.$

Therefore, the 11th term of the given A.P. is

$a_{11}=a+(11-1)d=12+10\times(-4)=12-40=-28.$

Thus, the required 11th term of the A.P. is -28.