Question

How to find a general sum formula for the series: 5+55+555+5555+.....?

score 53.7k · Answer 1 · 2026-03-25 19:05:37

53.7k

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How to find a general sum formula for the series: 5+55+555+5555+.....?

Published on 25 Mar 2026 - 19:05

score 99 · Answer 2 · 2026-04-15 17:58:58

99

Views

Proof by induction of the formula for $2^0+2^1+2^2+...+2^n$?

Published on 15 Apr 2026 - 17:58

score 1.6k · Answer 3 · 2026-03-25 22:06:35

1.6k

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To prove sum of A.P is greater than G.P

Published on 25 Mar 2026 - 22:06

score 51 · Answer 4 · 2026-04-17 14:47:42

51

Views

Find the sun of ${x\over(x+1)}+{x^2\over(x+1)(x^2+1)}+{x^4\over(x+1)(x^2+1)(x^4+1)}+...$

Published on 17 Apr 2026 - 14:47

score 99 · Answer 5 · 2026-03-26 01:23:25

99

Views

Showing that successive arches of $y=e^{-\alpha x}\sin\beta x$ bound areas in geometric progression with ratio $q=e^{-\alpha\pi/\beta}$

Published on 26 Mar 2026 - 1:23

score 131 · Answer 6 · 2026-04-13 01:14:12

131

Views

Find the sum of the series $\sum_{k=0}^\infty \frac{1}{2^{k+3}}$

Published on 13 Apr 2026 - 1:14

score 33 · Answer 7 · 2026-03-25 20:39:49

33

Views

Arithmetic and geometric progressions based question

Published on 25 Mar 2026 - 20:39

score 85 · Answer 8 · 2026-04-14 07:21:25

85

Views

Show that the series diverges $\sum_{k=2}^\infty \frac{k^{k-2}}{3k}$

Published on 14 Apr 2026 - 7:21

score 25 · Answer 9 · 2026-04-14 03:08:12

25

Views

What is the largest number of members that a geometric progression can have in this problem?

Published on 14 Apr 2026 - 3:08

score 25 · Answer 10 · 2026-04-15 04:20:58

25

Views

Why the geometric series of a random variable that takes all $\mathbb Z$ numbers include $p_{0}$+constant?

Published on 15 Apr 2026 - 4:20

score 17 · Answer 11 · 2026-05-10 21:57:34

17

Views

Calculate the sum of geometric progression.

Published on 10 May 2026 - 21:57

score 40 · Answer 12 · 2026-04-12 07:35:42

40

Views

How to calculate the sum of the series?

Published on 12 Apr 2026 - 7:35

score 55 · Answer 13 · 2026-04-14 04:00:30

55

Views

Can't figure out why $\sum_{k=1}^{\infty }\frac{1}{3}\times 2^{| -2k+1 |} = 2/9$

Published on 14 Apr 2026 - 4:00

score 168 · Answer 14 · 2026-04-17 05:07:14

168

Views

Is the series $X=1+\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+..$ divergent or convergent.

Published on 17 Apr 2026 - 5:07

score 173 · Answer 15 · 2026-03-25 19:05:25

173

Views

Why is $\sum_{k=1}^\infty \frac{1}{(b+1)^k}=\frac{1}{b}$?

Published on 25 Mar 2026 - 19:05

List Question

How to find a general sum formula for the series: 5+55+555+5555+.....?

Proof by induction of the formula for $2^0+2^1+2^2+...+2^n$?

To prove sum of A.P is greater than G.P

Find the sun of ${x\over(x+1)}+{x^2\over(x+1)(x^2+1)}+{x^4\over(x+1)(x^2+1)(x^4+1)}+...$

Showing that successive arches of $y=e^{-\alpha x}\sin\beta x$ bound areas in geometric progression with ratio $q=e^{-\alpha\pi/\beta}$

Find the sum of the series $\sum_{k=0}^\infty \frac{1}{2^{k+3}}$

Arithmetic and geometric progressions based question

Show that the series diverges $\sum_{k=2}^\infty \frac{k^{k-2}}{3k}$

What is the largest number of members that a geometric progression can have in this problem?

Why the geometric series of a random variable that takes all $\mathbb Z$ numbers include $p_{0}$+constant?

Calculate the sum of geometric progression.

How to calculate the sum of the series?

Can't figure out why $\sum_{k=1}^{\infty }\frac{1}{3}\times 2^{| -2k+1 |} = 2/9$

Is the series $X=1+\frac{1}{3}+\frac{1}{5}+\frac{1}{7}+..$ divergent or convergent.

Why is $\sum_{k=1}^\infty \frac{1}{(b+1)^k}=\frac{1}{b}$?

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