Question

Sum of first three term is 33 if product of first and third term exceeds second term by 29 find ap

Answer 1

Let the first 3 terms of AP: a - d, a, a + d

Given:

(a - d) + a + (a + d) = 3a = 33

a = 11

(a - d)*(a + d) = a + 29

a^2 - d^2 = a + 29

11^2 - d^2 = a + 29

121 - d^2 = 11 + 29

121 - d^2 = 40

d^2 = 121 - 40

d^2 = 81

d = 9

A.P: 11 - 9, 11, 11 + 9 ....

A.P: 2, 11, 18 ...... ——> Answer