Question

The sum of four consecutive numbers in ap os 32 and ratio of products of first term to product of two middle terms is 7:15

Answer 1

Step-by-step explanation:

let the four consecutive term be

a-d , a, a+d ,a+2d

first condition

a-d+a+a+d+a+2d=32

-d and +d has been cancelled

4a+2d=32

take 2 common

2(2a+d)=32

2a+d=16........ ........... ........... ( i )

second condition

a-d : a(a-d) =7:15

a-d /a^2-ad=7/5

5(a-d) =7(a^2-ad)

5a-5d=7a^2-7ad.......ii