Find the sum of the following geometric ...

Find the sum of the following geometric series: `1,\ -a,\ a^2,-a^3,... to\ n` terms `(a!=1)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

FUNCTIONS
RD SHARMA ENGLISH|Exercise All Questions|200 Videos
GRAPHS OF TRIGONOMETRIC FUNCTIONS
RD SHARMA ENGLISH|Exercise All Questions|22 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the following geometric series: x^3, x^5, x^7, to\ n terms

Find the sum of the following geometric series: 2/9-1/3+1/2-3/4+ to\ 5\ terms.

Find the sum of the following geometric series: sqrt(7),sqrt(21),3sqrt(7),\ to\ n terms.

Find the sum of the following geometric progression: 4,2,1,1//2, \ to\ 10\ terms.

Find the sum of the infinite geometric series 1+3x+9x^2+27x^3+…..

Find the sum of the following series to n term: 1^2-2^2+3^2-4^2+…....

Find the sum of the infinite geometric series (1+1/3+1/9+1/27+...oo) .

Find the sum of the following series whose n t h term is: 2n^3+3n^2-1.

Find the sum of the following series whose n t h term is: (2n-1)^2dot

Find the sum of the following geometric series: a/(1+i)+a/((1+i)^2)+a/((1+i)^3)++a/((1+i)^n)dot

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions

Find the sum of the series upto infinite terms 3/4-5/4^2+3/4^3-5/4^4+....
Text Solution
|
Find the sum of the following geometric series: a/(1+i)+a/((1+i)^2)+a/...
Text Solution
|
Find the sum of the following geometric series: 1,\ -a,\ a^2,-a^3,... ...
Text Solution
|
Find the sum of the following geometric series: x^3, x^5, x^7, to\ n ...
Text Solution
|
Find the sum of the following geometric series: sqrt(7),sqrt(21),3sqrt...
Text Solution
|
Evaluate the following: sum(n=1)^(11)(2+3^n)
Text Solution
|
Evaluate the following: sum(n=2)^(10)4^n
Text Solution
|
Find the sum of the following series: 5+55+555+ to\ n\ t e r m sdot
Text Solution
|
Find the sum of the following series : 0. 7+0. 77+0. 777+...... ton t...
Text Solution
|
Find the sum of the following series: 9+99+999+ to\ n\ t e r m s
Text Solution
|
Find the sum of the following series: 0. 5+0. 55+0. 555+ to\ n\ t e r ...
Text Solution
|
Find the sum of the following series: 0. 6+0. 66+0. 666 to\ n\ t e r ...
Text Solution
|
How many terms of the series 3,6,12,.. having sum 381?
Text Solution
|
.Find the G.P., if the common ratio of G.P. is 3, nth term is 486 and ...
Text Solution
|
The ratio of the sum of first three terms to the sum of first six term...
Text Solution
|
The 4th and 7th terms of a G.P. are 1/(27)a n d1/(729) respectively. F...
Text Solution
|
Show that the ratio of the sum of first n terms of a G.P. to the su...
Text Solution
|
If a\ a n d\ b are the roots of x^2-3x+p=0\ a n d\ c ,\ d are the root...
Text Solution
|
How many terms of the G.P. 3,3//2,3//4, be taken together to make (30...
Text Solution
|
A person has 2 parents, 4 grandparents, 8 great grand parents, and so ...
Text Solution
|