Question

find increasing A.P., if sum of 1st 3 terms is 27 & sum of squares is 275

Answer 1

Let's assume that the three terms in AP are (a-d), (a),(a+d)

ATQ

a-d+a+a+d = 27

3a = 27

Therefore a = 9

Now,

(9-d)^2 +(9)^2 + (9+d)^2 = 275

81 + d^2 -18d + 81 + 81 + d^2 +18d =275

243+2d^2= 275

2d^2 = 275-243

d^2 =32/2

d^2=16

d=4

Therefore the terms are....

1st term 9-4=5

2nd = 9

3rd = 13