Question

the sum of 5terms of an AP is 30 . if the product of first and last term is 100. find AP?​

Answer 1

Step-by-step explanation:

the five terms in AP are a-2d , a-d , a, a+d, a+2d

on adding the above 5 numbers ,a-2d +a-d + a+ a+d+a+2d

we get 5a

According to the question, 5a =30

:. a=6

Condition 2

(a-2d)(a+2d)=100

a^2-4d^2 =100

substituting the value of a

36-4d^2 =100

d^2= 16

d=4

AP is -2,2,6,10,14