Sequences and Series
What is the common difference, if a1=100 and a2=250
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If sinx+cosx=y+y1,xϵ[0,π] and y>0, then-
Sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio (3+22 ):(3−22 ).
Find the arithmetic mean If 69.5 is the mean of 72,70,x,62,50,71,90,64,58 and 82. Find the value of x.
nA.M.s are inserted between 2 and 100 then sum of the A.M′s is
Increased by 60%
Between two numbers whose sum is 613, an even number of A.M.s is inserted, the sum of these means exceeds their number by unity. Find the number of means.
Find x, if the given numbers are in A.P. (a+b)2,x,(a−b)2