Question

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

Answer 1

D. 54

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.

`a_(n)` =
`ar^(n-1)`

In which
`a_(n)` 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 :
`16*1.5^(n-1)`

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.

Hope this helps mate.