Category: Sequences and Series

8. If a,b,c,d are in G.P, prove that ((a^n+b^n )),((b^n+c^n )),((c^n+d^n)) are in G.P. Sequences and Series Miscellaneous

7. Let S be the sum, P the product and R the sum of reciprocals of n terms

6. If (frac{a+bx}{a-bx}=)(frac{b+cx}{b-cx}=)(frac{c+dx}{c-dx}) (x≠0), then show that a,b,c and d are in G.P. Sequences and Series Miscellaneous Exercise

5. A G.P. consists of an even number of terms. If the sum of all the terms is

4. The sum of three numbers in G.P. is 56. If we subtract 1,7,21 from these numbers in

3. The first term of a G.P. is 1. The sum of the third term and fifth term

2. The sum of some terms of G.P. is 315 whose first term and the common ratio are

1. If f is a function satisfying f(x+y)=f(x)f(y) for all x,y∈N such that f(1)=3 and (sum_{x=1}^n f(x)=120), find