Question

Find the 3 terms in Apwhose sum is 15 and product is80?

Answer 1

Answer :

2, 5, 8

Solution :

Let,

Three terms of AP be x, x + d, x + 2d

sum = 15

3x + 3d = 15

x + d = 5

product = 80

x(x + d)(x + 2d) = 80

(5 - d)5(5 + d) = 80

(5² - d²) = 16

9 = d²

d = 3

x + 3 = 5

x = 2

First three terms of AP are 2, 5, 8.