What is a possible value for the missing term of the geometric sequence?

50, 450,

Geometric sequence states that a sequence in which a number that follows the pattern were the next term is found by multiplying the constant common ratio term(r).

For the sequence:

The formula for the nth geometric sequence is given by:

where

a is the first term

r is the common ratio

n is the number of terms.

Given that:

A geometric sequence:

50, ____, 450

Here, a = first term = 50

Using the nth geometric sequence formula:

or

Substitute the value of a , to solve for r;

Divide both sides by 50 we get;

To find the term ;

Substitute the given values we have;

Therefore, the possible value for the missing term of the geometric sequence is 150

b. astronomers