Sequences and Series
Write the first five terms of the sequence whose nthterms are : an=n(n+2)
The sum of first three terms of a G.P. is 1213and their product is 1. Find the common ratio and the terms.
The Fibonacci sequence is defined by 1=a1=a2 and an=an−1+an−2,n>2. Find anan+1,for n = 1, 2, 3, 4, 5.
What will Rs. 500 amounts to in 10 years after its deposit in a bank which pays annual interest are 10% compounded annually?
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.
The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.