Question

Find the middle term of the A.P.213,205,197,...,37.

Answer 1

Answer:

Hope's it helps...........

Answer 2

Middle term = 133

Step-by-step explanation:

Given: A.P.213,205,197,...,37

Find: Middle term.

Solution:  

a = 213

d = -8

Nth term = a + (n-1)d = 213 - (n-1)8

  37 = 213 -8n -8

  8n = 213 - 8 - 37

  n = 168/8

  n = 21

Middle term = 21 + 1 /2 = 11th term.

a11 = 213 + (10)(-8)

    = 213 -80

 a11  = 133