Home
Class 12
MATHS
Let an= 16,4,1,… be a geometric sequence...

Let `a_n= 16,4,1,…` be a geometric sequence .Define `P_n` as the product of the first n terms. The value of `underset(n=1)overset(oo)Sigma nsqrtP_n` is _________.

A

8

B

16

C

32

D

64

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let a_n= 16,4,1,… be a geometric sequence .Define P_n as the product of the first n terms. The value of Sigma_(n=1)^(oo) nsqrtP_n is _________.

Let a_n=16 ,4,1, be a geometric sequence. Define P_n as the product of the first n terms. Then the value of 1/4sum_(n=1)^oo P_n^(1/n) is _________.

The first term of a geometric sequence is 64, and the common ratio is (1)/(4) . For what value of n is t_(n)=(1)/(4) ?

Find the underset(k=1)overset(oo)sumunderset(n=1)overset(oo)sumk/(2^(n+k)) .

The sum, underset(n-1)overset(10)(Sigma)(n(2n+1)(2n-1))/5 is equal to.........

Show that for the sequence defined by a_(n) = (n -1) (n-2) ,the first two terms are zero and its fifth term is 12 .

Write the first five terms of the sequence defined by a_n=(-1)^(n-1). 2^n

If the nth term a_n\ of a sequence is given by a_n=n^2-n+1 write down its first five terms.

Show that the sequence defined by a_n=2n^2+1 is not an AdotPdot

Write the first five terms of the sequence whose n^(t h) terms are : a_n=2^n