Question

if the second term of a geometric series is 48 and its fifth term is 6 then find the sum of its first term 6 terms​

Answer 1

The answer is 189.

Explanation:

This geometric sequence is actually just a division of 2 for every term downwards. Therefore, we can see the first term is
`48 \cdot 2` which is 96. Hence, we can work our way down from there:

List:

First term: 96

Second term: 48

Third term: 24

Fourth term: 12

Fifth term: 6

Sixth term: 3

Now, all we have to do is to add all the first 6 terms together to get:

`96 + 48 + 24 + 12 + 6 + 3`

`= 189`

The answer is 189.

Hope this helped!