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Question

4 G.Ms are inserted between 2 and 486, then the common ratio of the resulting G.P is___

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Solution

The resultant G.P. will have 6 terms including 2 and 486.
The first term of the G.P. is 2 and the 6th term is 486.
2,G1,G2,G3,G4, 486 are in G.P.
t1=2t6=486
Let the common ratio of be r.
2×(r)61=486r5=243=35r=3

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