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Question

Mathematics Question on Sequence and series

If the third term of a G.P.G.P. is 33, then the product of its first 55 terms is

A

15

B

8181

C

243243

D

Cannot be determined

Answer

243243

Explanation

Solution

Given third term of GP is, a=3.a=3.
Product of first 5 terms
=ar2×ar×a×ar×ar2=a{{r}^{2}}\times ar\times a\times \frac{a}{r}\times \frac{a}{{{r}^{2}}}
=a5={{a}^{5}}
=(3)5={{(3)}^{5}}
=243=243