Sequences and Series
If the mean deviation of the numbers 1,1+d,1+2d,…,1+100d from their mean is 255, thenthe d is equal to
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There are four arithmetic means between 2 and −18. The means are
Find the GM between the numbers a3b and ab3.
A man travels m feet due north at 2 minutes per metre. He returns due south to his starting point at 2 metre per minute. The average rate in miles per hour for the entire trip is:
Maximum value of ∏(1+ab−c)a is λ where a,b,c are integral sides of a triangle, λ+2 is/are divisible by
Prove that the sum of the n arithmetic means inserted between two quantities is n times the single arithmetic mean between them.
If sinx+cosx=y+y1,xϵ[0,π] and y>0, then-
nA.M.s are inserted between 2 and 100 then sum of the A.M′s is
If x2+x21=A and x−x1=B then least value of BA is