Question

if sum of first three numbers is 24 and the product of first and third term is 5times commom difference find AP​​

Answer 1

Answer:

let the term of AP is (a-d),a,(a+d)

where common difference is d

ATQ (a-d)+a+(a+d)=24

3a=24

a=8

(a-d)(a+d)=5d

a²-d²=5d

64-d²=5d

d²+5d-64=0

d= [-25√25-216]/2

AP 8-[(-25√25-216)/2],8,8+[(-25√25-216)/2]

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