Question

Find the middle term of the AP : -6,-2,2,...,50.

Answer 1

Step-by-step explanation:

GivenA.P.is -6,-2,2-----,50

Here, a=-6

d=-2+6=4

An=50

a+(n-1)d=50

-6+(n-1)4=50

(n-1)4=56

n-1=14

n=15

:.since no. of terms is odd ,so only one middle term.

For middle term,

(15+1/2)th=( 16/2)th

=8th term

8th term is middle term

So, a8=a+7d=-6+7×4=-22