Question

Find the missing terms in the following geometric sequence.

/

a.
48, 162
b.
116, 220
c.
96, 192
d.
36, 108


Please select the best answer from the choices provided


a) A
b) B
c) C
d) D

Answer 1

Answer: Option d. 36,108 is the correct answer.

Explanation:

In this question we have given a sequence of four terms and we know the first and last term.

Now we have to calculate the ratio of the terms so that we can complete the sequence.

We know the formula of the sequence A(n) =
`A(1)r^(n-1)`

Now we know A(4)=324

A(1) = 12

n = 4

So we the values in the formula

324 =
`12(r^(4-1))`

324 =
`12r^(3)`

`r^(3) =(324)/(12)`

`r=\sqrt[3]{27}`

r = 3

So the sequence will be 12,36,108,324