Find the sum of first n terms and the s...

Find the sum of first n terms and the sum of first 5 terms of the geometric series 1 + `2/3`+`4/9``+dotdotdot`

Text Solution

Verified by Experts

The correct Answer is:

`211/81`

Topper's Solved these Questions

SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise ILLUSTRATIVE EXAMPLES|27 Videos
SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise EXERCISE 9 (a) SATQ|5 Videos
SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
RELATIONS AND FUNCTIONS
MODERN PUBLICATION|Exercise Chapter Test|11 Videos
SETS
MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

If the sum of the first n terms of the series

The sum of first 8 terms of the geometric series 2+6+18+54+ . . . Is

Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

Find the sum of first n terms of the series whose nth term is 3n^(2)+5 .

The nth term of a series is 3^(n)+2n; find the sum of first n terms of the series.

Find the sum of the first 10 terms of geometric progression 18, 9, 4.5, …

In a geometric prograssion the sum of first 3 terms is 7 and the sum of next 3 terms is 56 . Find the geometric prograssion.

The 5^(th) term of an AP is 50. Find the sum of first 9 terms.

MODERN PUBLICATION-SEQUENCES AND SERIES-FAQs

The number of bacteria in a certain culture doubles every hour. If ...
Text Solution
|
Evaluate : sum(i=1)^(10){(1/2)^(j-1)+(1/5)^(j+1)}
Text Solution
|
Find the sum of first n terms and the sum of first 5 terms of the geo...
Text Solution
|
Determine the number of terms in G.P. <<an>>,ifa1=3,an=96a n dSn=189.
Text Solution
|
The sum to n terms of the series 11+103+1005+"…." is
Text Solution
|
Find the sum of n terms of the series (a + b) + (a^2 + 2b) + (a^2 + 3b...
Text Solution
|
Find the sum to n terms of the series: (x+1/x)^(2)+(x^(2)+1/(x^(2)))^(...
Text Solution
|
Find the least value of n for which the sum 1+3+3^2+ ton terms is grea...
Text Solution
|
Find the sum to n terms of the series 4+44+4444+cdots
Text Solution
|
Find the sumiof 50 terms of a sequence 7,7.7,7.77,7.777.
Text Solution
|
If S(n) denotes the sum fo n terms of a G.P. whose first term and comm...
Text Solution
|
If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...
Text Solution
|
A person has 2 parents, 4 grandparents, 8 great grand parents, and so ...
Text Solution
|
An insect starts from a point and travels in a straight path 1 mm in t...
Text Solution
|
Verify that 10,-9,8.1…………… is a geometric progression. Find the sum to...
Text Solution
|
Find the sum to infinity of the G.P. -3/4,3/16,-3/64,………..
Text Solution
|
Prove that:3^(1/2)xx3^(1/4)xx3^(1/8)xx...=3
Text Solution
|
The first term of G.P. is 2 and the sum to infinity is 6. Find the com...
Text Solution
|
If A=1+r^a+r^(2a)+ to ooa n dB=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...
Text Solution
|
Use geometric series to express 0.555 ... =0.bar(5) as a rational numb...
Text Solution
|