Sequences and Series
There are n AM's between 1 & 31 such that 7thmean:(n−1)thmean=5:9, then find the value of n.
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If sinβ is the geometric mean between sinα cosα then cos2β is equal to :
Find the geometric mean between 16 and 81.
For any two positive numbers,we have
If the product of two positive numbers is 256 then the least value of their sum is
Find the G.M of 6 and 24
If A and G are A.M. and G.M. between two positive numbers a and b are connected by the relation A+G=a-b then the numbers are in the ratio
If x2+y2+z2=1 then the value of xy+yz+zx lies in the interval
The sum of two numbers is 261. An even number of arithmetic means are being inserted between them and their sum exceeds their number by 1. Find the number of means inserted.