Question

Find the 37^th  term of the AP 6 , 7 `3/4 , 9 1/2 , 11 1/4,.............`

Answer 1

The given AP is 6 , 7  `3/4 , 9 1/2 , 11 1/4,.............`

First term, a = 6 and common difference, d = 7`3/4 - 6 ⇒ 31/4 -6 ⇒ (31-24)/4 = 7/4`

 Now , `T _37 = a + (37-1) d = a + 36 d`

= 6 +36 `xx 7/4 = 6 +63 = 69 `

 ∴ 37^th term = 69