Question

C)
The sum of three number in A.P. is -3, and
their product is 8. Then sum of squares of the
number is​

Answer 1

Step-by-step explanation:

AP : a - d, a, a + d

where, a = First term,

d = common difference

According to the Question,

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

and

( a - d)(a)( a + d ) = 8

Solving the equations,

3a = -3

a = -1

And substitute the value of a in eq.2

( a - d)(a)( a + d ) = 8

( -1 - d)(-1)( -1 + d ) = 8

-((-1)^2 - (d)^2) = 8

-1+d^2 = 8

d^2 = 9

therefore, d = 3

So,The AP is a-d, a, a+d = -1 -3 , -1 , -1 +3

= -4,-1,2

sum of squares of the number = 16 + 1 + 4

= 21

ANSWER = 21