Sequences and series
There are n Arithmetic means between 13 and 61. If ratio of the first A.M. and (n−1) the A.M. may be 16:55, then find n.
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The ratio of the sums of m and n terms of an A.P. is m2:n2. Show that the ratio of mth and nth term is (2m−1)(2n−1).
Find the 12th term from the end of the following arithmetic progressions:(i)3,5,7,9,.......201(ii)3,8,13,.........253(iii)1,4,7,10,......88
Find all possible integers whose geometric mean is 16.
Which term of the sequence 114,109,104....... is the first negative term
The sum of 2 consective numbers is 45 find the numbers
For any x,y∈R,xy>0 then the minimum value of y32x+3x3y+9x44y2 is
If the sum of the first n terms of an A.P. is given by the equation n2+7n, then what is the first term and second term?
The common difference for even number of terms written in symmetrical manner for an arithmetic progression have a common difference of ?