Question

The sum of three numbers in A.P is $-3$ and their product is $8$. Find the numbers.

• A. $-4,-1,2$
• B. $-1,2,5$
• C. $2,5,8$
• D. $5,8,11$

Answer 1

The correct option is A $-4,-1,2$

Let $a-d,a,a+d$ are in A.P

$(a-d)+a+(a+d)=-33a=-3a=-1$

Product$=8$

$(a-d)\left(a\right)(a+d)=8(d+1)(d-1)=8d^2-1=8d=\pm 3$

Numbers in A.P are $-4,-1,2$