Question

If sum of the three numbers in A.P. is 78 and their product is 15470, then sum of squares of the three numbers is​

Answer 1

Answer:

Correct option is

D

2,−1,−4.

Let three no's in AP be a−d,a,a+d

Given, sum of three numbers =−3

Therefore, a−d+a+a+d=−3

⇒3a=−3

⇒a=−1

Also product of three numbers =8

Therefore, (a−d)a(a+d)=8

⇒a(a

2

−d

2

)=8

⇒(−1)(1−d

2

)=8

⇒1−d

2

=−8

⇒d

2

=9

⇒d=3 and d=−3

If a=−1 and d=3 numbers are −4,−1,2.

And if a=−1 and d=−3 numbers are 2,−1,−4.