Question

Induction Proof: $\sum_{k=1}^{n}\frac{a-1}{a^k}=1-\frac{1}{a^n}, a \ne 0$

score 154 · Answer 1 · 2014-08-29 13:23:06

154

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Induction Proof: $\sum_{k=1}^{n}\frac{a-1}{a^k}=1-\frac{1}{a^n}, a \ne 0$

Published on 29 Aug 2014 - 13:23

score 159 · Answer 2 · 2014-08-31 16:23:52

159

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The form of a set of positive integers that contains $k+1$ whenever it contains $k$

Published on 31 Aug 2014 - 16:23

score 111 · Answer 3 · 2026-03-27 21:57:46

111

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The meaning of infinite series $\sum_{i=0}^\infty 2^{-i}$, its relation to partial sums and Cantor's diagonal argument

Published on 27 Mar 2026 - 21:57

score 3.4k · Answer 4 · 2014-08-31 20:06:41

3.4k

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Why induction cannot be used for infinite sets?

Published on 31 Aug 2014 - 20:06

score 94 · Answer 5 · 2026-03-26 06:26:25

94

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Finding Function Representation of Recursive Sequence

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score 124 · Answer 6 · 2014-09-01 21:06:38

124

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Prove by induction that $n!+n \geq 2^n$

Published on 01 Sep 2014 - 21:06

score 471 · Answer 7 · 2026-03-25 17:26:11

471

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Is this a valid statement that would imply the Collatz Conjecture?

Published on 25 Mar 2026 - 17:26

score 4k · Answer 8 · 2026-03-28 03:34:48

4k

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Using induction to prove that $\sum_{r=1}^n r\cdot r! =(n+1)! -1$

Published on 28 Mar 2026 - 3:34

score 181 · Answer 9 · 2026-03-25 15:40:57

181

Views

Let $\alpha > 0$, use mathematical induction to prove that

Published on 25 Mar 2026 - 15:40

score 703 · Answer 10 · 2014-09-03 17:38:11

703

Views

Mathmatical Induction

Published on 03 Sep 2014 - 17:38

score 1.4k · Answer 11 · 2014-09-04 01:27:43

1.4k

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Induction proof for a k-regular graph

Published on 04 Sep 2014 - 1:27

score 220 · Answer 12 · 2014-09-04 03:28:25

220

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Prove |cos(x−1)|+|cos(x)|+|cos(x+1)|≥3/2

Published on 04 Sep 2014 - 3:28

score 70 · Answer 13 · 2014-09-04 14:47:07

70

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Proof by Induction - Algebra Problem (Steps included but not understood)

Published on 04 Sep 2014 - 14:47

score 62 · Answer 14 · 2014-09-04 19:06:11

62

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Induction proof of an identity

Published on 04 Sep 2014 - 19:06

score 44 · Answer 15 · 2026-03-31 19:13:35

44

Views

Is this a valid proof technique regarding the divisibility of numbers?

Published on 31 Mar 2026 - 19:13

List Question

Induction Proof: $\sum_{k=1}^{n}\frac{a-1}{a^k}=1-\frac{1}{a^n}, a \ne 0$

The form of a set of positive integers that contains $k+1$ whenever it contains $k$

The meaning of infinite series $\sum_{i=0}^\infty 2^{-i}$, its relation to partial sums and Cantor's diagonal argument

Why induction cannot be used for infinite sets?

Finding Function Representation of Recursive Sequence

Prove by induction that $n!+n \geq 2^n$

Is this a valid statement that would imply the Collatz Conjecture?

Using induction to prove that $\sum_{r=1}^n r\cdot r! =(n+1)! -1$

Let $\alpha > 0$, use mathematical induction to prove that

Mathmatical Induction

Induction proof for a k-regular graph

Prove |cos(x−1)|+|cos(x)|+|cos(x+1)|≥3/2

Proof by Induction - Algebra Problem (Steps included but not understood)

Induction proof of an identity

Is this a valid proof technique regarding the divisibility of numbers?

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