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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​

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HollowKnightUwU

Answer:

The answer is 189.

Step-by-step explanation:

This geometric sequence is actually just a division of 2 for every term downwards. Therefore, we can see the first term is [tex]48 \cdot 2[/tex] 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:

[tex]96 + 48 + 24 + 12 + 6 + 3[/tex]

[tex]= 189[/tex]

The answer is 189.

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