Question

Sum of 3 terms is 24 and product of 3 terms are480 find the terms in ap

Answer 1

let the terms be

a-d,a,a+d

Given that sum of three terms is 24

a - d + a + a + d = 24

a = 8

Product of three terms is 480

(8 - d)(8)(8 + d) = 480

(64-8d)(8+d) = 480

512 + 64d - 64d - 8d² = 480

8d² = 32

d² = 4

d = 2

Terms Are : 6,8,10