Sum of Infinite Terms of a GP
Trending Questions
Show that the following four conditions are equivalent:
(i) A⊂B (ii) A−B=Φ
(ii) A∪B=B (iv) A∩B=A
- [-3, 3]
- [0, 1]
- 13
- −13
- 25
- −25
- 12
- 13
- 14
- 15
Sum the series 1.2.3+2.3.4.+3.4.5+⋯ to n terms.
- 2046
- 1024
- 2048
- 1023
If x, y, and z are in G.P. and x+3, y+3, Z+3 are in H.P., then
y =2
y =3
y =1
y=0
The sum of two numbers is 136.
An even number of AMs are being inserted between them. The sum of means inserted exceeds the number of means by one. Find the number of AMs inserted.
Or
Find the sum of infinite series. 13+152+132+154+133+156+.......
- 1+√52
- 1−√52
- 5−√32
- 3−√52
If AM between two numbers exceeds their GM by 52 and the GM exceeds their HM by 2, the ratio of numbers is
1:4
4:1
1:2
2:1
If f is a function satisfying f(x+y)=f(x) f(y) for all, x, yϵN such that f(1) = 3 and ∑nx=1f(x)=120, find the value of n.
The (m+1)th term of (xy+yx)2m+1 depends on -
Independent of x
Constant
Independent of y
Depends on x, y and m
Find the real numbers x and y if (x−iy)(3+5i) is the conjugate of -6 -24i
ratios are 12, 13, 14, ⋯1p+1 respectively,
Then S1+S2+S3+⋯+Sp=
- p
- p(p+3)2
- None of these
- p(p+1)2
8+88+888+........=
None of these
8081(10n−1)−8n9
1081(10n−1)
8081(10n−1)+8n9
Xi | 6 | 10 | 14 | 18 | 24 | 28 | 30 |
fi | 2 | 4 | 7 | 12 | 8 | 4 | 3 |
- x+y-1xy
- 2xyx+y-1
- xyx+y-1
- x+y-12xy
f(x)=x100100+x9999+⋅⋅⋅+x22+x+1
Prove that f′(1)=100f′(0)
[UPSEAT 2002]
- x > 2
- x < -2
- (x < -2) U (x > 2)
- None of these
- 0<x<10
- 0<x<15
- x>10
- x>5
How do you calculate ?