How many terms of G.P. 3, 3^2, 3^3, … a...

How many terms of G.P. `3, 3^2, 3^3,` … are needed to give the sum 120?

Text Solution

Verified by Experts

The correct Answer is:

4

Topper's Solved these Questions

SEQUENCES AND SERIES
NCERT GUJARATI|Exercise EXERCISE 9.4|10 Videos
SEQUENCES AND SERIES
NCERT GUJARATI|Exercise Miscellaneous Exercise On Chapter 9|31 Videos
SEQUENCES AND SERIES
NCERT GUJARATI|Exercise EXERCISE 9.2|18 Videos
RELATIONS AND FUNCTIONS
NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 2|12 Videos
SETS
NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|22 Videos

Similar Questions

Explore conceptually related problems

How many terms of the A.P. 54, 51, 48,……are needed to give the sum 513?

How many terms of the A.P. 18, 16, 14, 12,…. are needed to give the sum 78?

How many terms of the G.P. 3,(3)/2,3/4 ..........are needed to give the sum (3069)/512 ?

How many terms of the A.P. – 6, , - (11)/2 , -5 ......... are needed to give the sum –25?

How many terms of the AP , 9 , 17 , 25 .......must be taken to give a sum of 636 ?

How many terms of the sequence sqrt3, 3, 3 sqrt3 …… must be taken to make the sum 39 + 13 sqrt3 ?

If the sum of n terms of G.P. 3, 6, 12,…….is 381 then find n

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^("th") term is 164, find the value of m .

The next term of the G.P. x ,x^2+2,and x^3+10 is

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

NCERT GUJARATI-SEQUENCES AND SERIES-EXERCISE 9.3

Evaluate sum(k-1)^11(2+3^k)
Text Solution
|
The sum of first three terms of a G.P. is and their product is 1. Find...
Text Solution
|
How many terms of G.P. 3, 3^2, 3^3, … are needed to give the sum 120?
Text Solution
|
The sum of first three terms of a G.P. is 16 and the sum of the next t...
Text Solution
|
Given a G.P. with a = 729 and 7^("th") term 64, determine S7 .
Text Solution
|
Find a G.P. for which sum of the first two terms is – 4 and the fifth ...
Text Solution
|
If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...
Text Solution
|
Find the sum to n terms of the sequence, 8, 88, 888, 8888… .
Text Solution
|
Find the sum of the products of the corresponding terms of the sequenc...
Text Solution
|
Show that the products of the corresponding terms of the sequences a, ...
Text Solution
|
Find four numbers forming a geometric progression in which the third t...
Text Solution
|
If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and ...
Text Solution
|
If the first and the n^("th") term of a G.P. are a and b, respectivel...
Text Solution
|
Show that the ratio of the sum of first n terms of a G.P. to the sum o...
Text Solution
|
If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (a...
Text Solution
|
Insert two numbers between 3 and 81 so that the resulting sequence is ...
Text Solution
|
Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...
Text Solution
|
The sum of two numbers is 6 times their geometric mean, show that numb...
Text Solution
|
If A and G be A.M. and G.M., respectively between two positive numbers...
Text Solution
|
The number of bacteria in a certain culture doubles every hour. If the...
Text Solution
|