Question

find the middle term of 213,205,197,,,,,37​

Answer 1

Here, a = 213, d = 205-213 = -8

Let there be n terms.

ATP,

a+(n-1)d = 37

213-8(n-1)=37

8(n-1)=213-37

8(n-1)=176

n-1 = 22

n = 23

Thus, there are 23 terms. Middle term= 23+1 / 2  th term = 12th term

Req no. = 213-8(12-1) = 213-8 x 11 = 213-88 = 125