SOLUTION: A geometric progression has first term 𝑎 and common ratio 𝑟. The sum of the first three terms is 62 and the sum to infinity is 62.5. Find the value of 𝑎 and the value of
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Question 1187234: A geometric progression has first term 𝑎 and common ratio 𝑟. The sum of the first three terms is 62 and the sum to infinity is 62.5. Find the value of 𝑎 and the value of 𝑟.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I answered this as Question 1187229
The sum of n terms of a geometric progression with first term 𝑎 and common ratio 𝑟
is .
If the sum to infinity is .
From the information given in this problem we write two equations:
Dividing the first equation by the second one we get
-->-->-->-->
Substituting that value in , we get
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