Question

This is a Q on Progressions... * Find the 3 numbers in AP. Such that their sum is 30 and their product is 750.

Answer 1

Let the 3 terms be.x-a, x,x+a. A/q,x-a+x+x+a=30 ......x=10. Also(x-a)*x*(x+a)=750.....(x-a)(x+a)=750/x...x^2-a^2=75...,,100-a^2=75.....100-75=a^2....a^2=25...a=5. Therefore the three terms are,5,10,15.