If the first two terms of a geometric sequence are 16 and 24, which of the following is the value of the fourth term? a. 32
b. 36
c. 40
d. 54

D. 54

Step-by-step explanation:

Remember that for geometric series, it's a progression by multiplication. From the first term, you multiply by your common ratio to get each successive term.

=

In which is the nth term in a sequence.

A is the first term.

And R is the common ratio.

The common ratio is 1.5. Which was found by dividing 24 by 16.

Our equation would now be :

By replacing n with 4, you will get 54.

Or, if we multiply each term by 1.5, you will end up with 54 by the time you reach the fourth term.

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step-by-step explanation:

the correct answer is d

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