Sequences and Series
If a, b, c are in AP; x is the GM between a and b; y is the GM between b and c; then show that b2 is the AM between x2 and y2.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Show that the products of the corresponding terms of the sequences a, ar,ar2,,˙˙˙arn−1and A,AR,AR2,,˙˙˙ARn−1,form a G.P, and find the common ratio.
If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.
Find the sum of the sequence 7, 77, 777, 7777, . . . to n terms.
The sum of first three terms of a G.P. is 1213and their product is 1. Find the common ratio and the terms.
If a, b, c are in A.P., b, c, d are in G.P. and c1,d1,e1are in A.P. prove that a, c, e are in G.P.
If a, b, c are in G.P. and ax1=by1=cz1,prove that x, y, z are in A.P.
Insert two number between 3 and 81 so that the resulting sequence is G.P.
Two APs have the same common difference. The difference between their 100thterms is 100, what is the difference between their 1000thterms?