Question
Download Solution PDFThe third term of a G.P. is 9. The product of its first five terms is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Five terms in a geometric progression:
If a G.P. has first term a and common ratio r then the five consecutive terms in the GP are of the form
Calculation:
Let us consider a general geometric progression with common ratio r.
Assume that the five terms in the GP are
It is given that third term is 9.
Therefore, a = 9.
Now the product of the five terms is given as follows:
But we know that a = 9.
Thus, the product is
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