Sequences and Series
Find the common difference of an A.P. in which sum of any number of terms is always three times the squared number of these terms.
Sn=3n2 by given condition
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The mean of 45,84,75,87,47 is
The sum of two numbers is 6 times their geometric mean show that numbers are in the ratio (3+22):(3−22)
Between two numbers whose sum is 12, an even number of A.M.s is inserted, the sum of these means exceeds their number by 20. Find the number of means.
In any ΔABC, Π(sinAsin2A+sinA+1) is always greater than
If sinx+cosx=y+y1,xϵ[0,π] and y>0, then-
The time taken by Rohan in five different races to run a distance of 500 m was 3.20 minutes, 3.37 minutes, 3.29 minutes, 3.17 minutes and 3.32 minutes. Find the average time taken by him in the races.
The sum of n arithmetic means between a and b, is
Minimum value of λ for which the equation 9a2x−(λ+2)ax+4=0 . a>1 has atleast one real solution is: