SOLUTION: The first three terms of a geometric series are p-1, 2p, and 4p +6 respectively where p is a constant
(a) find the value of the constant p
(b) calculate the corresponding value o
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Question 662303: The first three terms of a geometric series are p-1, 2p, and 4p +6 respectively where p is a constant
(a) find the value of the constant p
(b) calculate the corresponding value of the common ratio
(c) Find the sum to ten terms of the series
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The common ratio, is the ratio between consecutive terms in a geometric sequence, and it is constant, so
--> equating the cross-products
--> --> --> -->
The first three terms are
and
The common ratio is
The sum of the first terms of a geometric sequence with first term
and common ratio is
In this case, it is
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