Sequences and Series
If 6 arithmetic means are inserted between 1 and 29, then find the 4th arithmetic mean.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
In an A.P., if pthterm is q1and qthterm is p1, prove that the sum of first pq terms is 21(pq+1),where p=q.
If the sum of n terms of an A.P. is 3n2+5n and its mth term is 164, find the value of m.
If an−1+bn−1an+bnis the A.M. between a and b, then find the value of n.
In a factory, 150 workers were engaged to finish a piece of work in a certain number of days. However, if 4 workers are dropped everyday, except the first day, it will take 8 more days to finish the work. Find the number of days in which the work was to be completed.
A ladder has rungs 25 cm apart, (see Figure). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and the bottom rungs are 221m apart, what is the length of the wood required for the rungs?
Find the sum to n terms of the series :1×2×3+2×3×4+3×4×5+˙˙˙
The sum of first three terms of a G.P. is 1213and their product is 1. Find the common ratio and the terms.
Show that 12×2+22×3++˙˙˙n2×(n+1)1×22+2×32++˙˙˙n×(n+1)2=3n+13n+5˙