Question

find the middle terms of the AP 213 ,205, 197,.....37

Answer 1

Just minus 8 from what you have here d=8
If any confusions you can ask

Answer 2

Answer:

Step-by-step explanation:

Given :-

a = 213

d = 205 - 213 = - 8

l = 37

Formula to be used :-

l = a + (n - 1)d

Solution :-

Let the number of terms be n.

l = a + (n - 1)d

⇒ 37 = 213 + (n - 1) (- 8)

⇒ 37 - 231 = - 8(n - 1)

⇒ n - 1 = - 176/- 8

⇒ n = 22 + 1

⇒ n = 23

The Middle term will be = 23 + 1/2 = 12th

a(12) = a + (n - 1)d

⇒ a(12) = 213 + (12 - 1) (- 8)

⇒ a(12) = 213 - 88

⇒ a(12) = 125

Hence, the middle term will be 125.