Question

In A.P. the sum of three terms is 27and product is 504. find the terms

Answer 1

let the three terms be a-d,a,a+d

sum of terms =27

(a-d)+a+(a+d)=27

3a=27

a= 9

and

product of terms = 504

(a-d)×a×(a+d)=504

it give d= 5 or -5

so the series is 4,9,14.......

or

series is 14,9,4.....