Sequences and Series
If X+3 is the geometric mean between X+1 and X+6, then find X.
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Find the sum of n terms of the series 1+54+527+5310+˙
If a,b,c,d are in G.P. prove that (an+bn),(bn+cn),(cn+dn) are in G.P.
The product of the three numbers in G.P. is 125 and sum of their product taken in pairs is 2175
. Find them.
then find the sum of r=1∑nTr1
How many terms are there in the A.P. 3, 7, 11, ... 407?
Prove that [n+1/2]n>(n!)˙
e the sum, P
the product, adn R
the sum of reciprocals of n
terms in a G.P. Prove that P2Rn=Sn˙
Find two numbers whose arithmetic mean is 34 and the geometric mean is 16.