Sequences and Series
Let Vr denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is (2r−1). Let Tr=Vr+1−Vr−2 and Qr=Tr+1−Tr for r=1,2,……. The sum V1+V2+……+Vn is
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
are in H.P., then find the value of b−2−c2a−2−d2
is a polomial in x
, then find possible value of n˙
How many terms are there in the A.P. 3, 7, 11, ... 407?
be in G.P. and a+x,b+x,andc+x
in H.P. then find the value of x(a,bandcaredist∈ctνmbers)
Find four number in an A.P. whose sum is 20 and sum of their squares is 120.
A sequence of integers a1+a2+……+an satisfies an+2=an+1−an for n≥1 . Suppose the sum of first 999 terms is 1003 and the sum of the first 1003 terms is -99. Find the sum of the first 2002 terms.
Find the sum of the following series :
are in G.P., then prove that (a3+b3)−1,(b3+c3)−1,(c3+d3)−1
are also in G.P.