What is a possible value for the missing term of the geometric sequence 50, ___, 450

Solution:

Given, the geometric sequence 50, _____, 450.

We have to find the missing term of the sequence.

Let the missing term be x.

For a geometric progression,

a, b, c, d,.....

Common ratio, r is equal to

r = b/a = c/b = d/c

Now, a = 50, b = x, c = 450

Common ratio, r = x/50

= 450/x

By cross multiplication,

⇒ x² = (50)(450)

⇒ x² = 22500

Taking square root,

⇒ x = √22500

⇒ x = 150

Therefore, the missing term is x = 150.

What is a possible value for the missing term of the geometric sequence 50, ___, 450

Summary:

The possible value for the missing term of the geometric sequence 50, ___, 450 is 150.