Sequences and Series
If x2+x21=A and x−x1=B then least value of BA is
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
If pth, qth, rthand sthterms of an A.P. are in G.P. then show that(p−q), (q−r), (r−s)are also in G.P.
Find the sum of odd integers from 1 to 2001.
A person has 2 parents, 4 grandparents, 8 great grand parents, and so on. Find the number of his ancestors during the ten generations preceding his one.
The sum of three numbers m GP is 56. If we subtract 1.7,21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.
Show that a1,a2,…,an,…form an AP where anis defined as below : (i) an=3+4n (ii) an=9−5n. Also find the sum of the first 15 terms in each case.
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.
Find the sum of :(i) the first 1000 positive integers(ii) the first n positive integers
If the 3rd and the 9thterms of an AP are 4 and −8 respectively, which term of this AP is zero?