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 Exercise Previous Next Class 11 Sequences and Series Miscellaneous Exercise 1. If f is a function satisfying f(x+y)=f(x)f(y) for all x,y∈N such that…

7. Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that (P^2 R^n=S^n). Sequences and Series Miscellaneous Exercise Previous Next Class 11 Sequences and Series Miscellaneous Exercise 1. If…

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 Previous Next Class 11 Sequences and Series Miscellaneous Exercise 1. If f is a function satisfying f(x+y)=f(x)f(y) for all x,y∈N such that f(1)=3…

5. A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying odd places, then find its common ratio. Sequences and Series Miscellaneous Exercise Previous Next Class…

4. The sum of three numbers in G.P. is 56. If we subtract 1,7,21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers. Sequences and Series Miscellaneous Exercise Previous Next Class 11 Sequences and Series…

3. 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. Sequences and Series Miscellaneous Exercise Previous Next Class 11 Sequences and Series Miscellaneous Exercise 1.…

2. The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms. Sequences and Series Miscellaneous Exercise Previous Next Class 11…

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 the value of n. Sequences and Series Miscellaneous Exercise Previous Next Class 11 Sequences and Series Miscellaneous Exercise 1. If f is a…