Question

The sum of the first three numbers in an Arithmetic Progression is 18. If
the product of the first and the third term is 5 times the common
difference, find the three numbers.​

Answer 1

Step-by-step explanation:

let first number be a

2nd a+d 3rd a+2d where d is common difference of AP

then ATQ

a+ a+d+a+2d=18

3a+3d=18

a+d=9..........1

(a)(a+2d)=5d

a(a+d+d)=5d

a(d+9)=5d

ad+9a=5d ............2

now you have 2 equation and two unknown

calculate it by your own