Sum of Infinite Terms
Trending Questions
The sum of series 1, 13, 19, 127, 181..... is ___.
32
47
95
38
The sum of the infinite terms of the following series will be
The product to infinity is
Question 13
Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.
Breadth of the hall (in meters)10□40Length of the hall (in meters)2550□
The infinite product x12.x14.x18........... equals ___.
0
infinity
1
x
Question 2 (i) |
23×223
In a G. P. the first term is , the second term is and the last term is , then the sum of the series is.
The first and last terms of a G.P. are and respectively; being its common ratio; then the number of terms in this G.P is
- False
- True
- 1612
- 1212
- 2012
- 1012
Sum to infinite terms of the GP 25, 352, 253, 354..is ___.
724
1324
524
1124
ratios are 12, 13, 14, ⋯1p+1 respectively,
Then S1+S2+S3+⋯+Sp=
- p(p+1)2
- p
- None of these
- p(p+3)2
Find term of a GP, whose term is and common ratio is .
- 1
- 2
- 3
- 4
If S1, S2, S3⋯Sp are the sums of infinite geometric series whose first terms are 1, 2, 3, ...p and whose common
ratios are 12, 13, 14, ⋯1p+1 respectively, then S1+S2+S3+⋯+Sp= ___.
p(p+1)2
p(p+3)2
None of these
p
- Two real and two imaginary roots
- 4 real and distinct roots
- 4 imaginary roots
- Two repeated real roots and two imaginary roots
- Cannot be determined.
- Equals 158
- Equals 2
- Will be higher than 2.
If S is the sum of infinite terms of a G.P., whose first term is a, then the sum of the first n terms is ___.
S(1−aS)n
S[1−(1−aS)n]
a[1−(1−aS)n]
S[1−(1+aS)n]
If x>1, y>1, z>1 are in GP, then 11+ln x, 11+ln y, 11+ln z are in
AP
HP
GP
None of these
The sum of the terms of an infinite G.P whose first term is 6 and common ratio is 1/3 is ___.
3
6
9
12
- 1
- 3/2
- 2
- -2
- 1124
- 712
- 512
- 524
Write the following decimals as fraction , reduce the fractions to lowest form.
- 6
- 3
- 9
- 12
1+23+632+1033+1434⋯ is
- 3
- 4
- 6
- 2
- 9
- 3
- 12
- 6