Question

What is a possible value for the missing term of the geometric sequence 1250 ___ 50

Answer 1

The possible value for the missing term of the geometric sequence = 250

Explanation:

The given geometric sequence:

1250, _______ ,50

Let x be the possible the missing term.

To find, the possible value for the missing term of the geometric sequence = ?

1250, x , 50

Here, first term(
`a_(1)`) = 1250, second term(
`a_(2)`) = x and

third term(
`a_(3)`) = x

We know that,

∴ Common ratio (r) =
`(a_(2))/(a_(1)) =(a_(3))/(a_(2))`

`(x)/(1250) =(50)/(x)`

⇒ x × x = 50 × 1250

⇒
`x^(2)` = 62500

⇒ x =
`√(62500)`

⇒ x = 250

∴ The possible value for the missing term of the geometric sequence = 250