Question

Product 3 number in GP is of 216 & sum of their squares is 651. find number
​

Answer 1

Since the continuous product of three numbers is 216, the numbers will be of the form

a

6

,6,6a.

Now the sum of products taken in pairs is 156.

⇒36a+

a

36

+36=156

⇒a+

a

1

=

36

120

⇒a+

a

1

=

3

10

⇒a=3

The numbers are thus 2,6 and 18.

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