Question

The sum of three number s in AP is 3 and their product is minus 35 find the number

Answer 1

The numbers are -5, 1 and 7

Answer 2

Answer:

The three numbers are-5,1,7.

Step-by-step explanation:

Let the three numbers of AP are a-d, a, a+d.

It is given that the sum of three numbers of AP is 3.

$a-d+a+a+d=3$

$3a=3$

$a=1$

The value of a is 1.

It is also given that the product of these three numbers is -35.

$(a-d)a(a+d)=-35$

$(1-d)\times 1\times (1+d)=-35$

$1-d^2=-35$

$1+35=d^2$

$36=d^2$

$d=6$

The value of d is 6.

The three numbers are

$a-d=1-6=-5$

$a=1$

$a+d=1+6=7$

Therefore, the three numbers are-5,1,7.