Between two numbers a & b first n1 geometric means are inserted. Then between the same number n2 geometric means are inserted. find the ratio of product of geometric means.

Question

anonymous · Answer

first find the common ratio in each case...

cp9454 · Answer

i think commen ratio will be same in both the cases, only number of term is changing.

anonymous · Answer

no, common ratio will be differnt

cp9454 · Answer

ok then, what

anonymous · Answer

in the first case first term is a  and b is (n1+2)th term and no of terms is (n1+2)
in the second case first term is a  and b is (n2+2)th term and no of terms is (n2+2)

anonymous · Answer

let r1 and r2 be the common ratio in the above two cases..

anonymous · Answer

then b = a( (r1)^(n1+1))
and b = a ((r2)^(n2+1))
and so on..