Question

What is a possible value for the missing term of the geometric sequence 37 __ 925

Answer 1

ANSWER

$\pm185$

EXPLANATION

Let the missing term be x.

Then the sequence becomes,

$37,x,925$

$\frac{x}{37} = \frac{925}{x}$

Cross multiply to get,

${x}^{2} = 34225$

Take square root of both sides,

$x = \pm \sqrt{34225}$

$x = \pm185$