SOLUTION: A geometric series has 8 terms whose sum of the first three terms is 13/9 and the sum of the last three terms is 351. Find the first term and the common ratio of the series
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Question 1073866: A geometric series has 8 terms whose sum of the first three terms is 13/9 and the sum of the last three terms is 351. Find the first term and the common ratio of the series
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let us define
= common ratio
= the first term
The first three terms are:
= the first term,
= the second term, and
= the third term.
Their sum is
.
The last three terms are:
= the sixth term,
= the seventh term, and
= the eight term.
Their sum is
Substituting into
,
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