List questions from induction

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Induction T/F questions. How to know what the counterexample is.

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What is wrong with the proof

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module of sum is less than...

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Proof a Sum with real numbers

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Proving $1\cdot1! + 2\cdot2! + 3\cdot3! + ... + k\cdot k! = (k+1)! - 1$

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Show $\frac{3\cdot 7\cdot 11\cdot _{...}\cdot\left(4n-1\right)}{5\cdot9\cdot13\cdot _{...}\cdot \left(4n+1\right)\:}<\sqrt{\frac{3}{4n+3}}$ for $n>0$

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Mathematical Induction Proof: $1/\sqrt1 + 1/\sqrt2+...+1\sqrt n \ge \sqrt n$

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Induction, set theory drama

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Proof By Induction for function

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Induction from n to 1

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Proving that $\sum_{j=0}^n 2^j=2^{n+1}-1$ for $n\geq 0$ by induction

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Prove that a group of size $\ge18$ people can be assembled from groups of 4 and 7

Published on 13 Oct 2015 - 9:23

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The kth derivative of $f(x)=\log^2 x$ by induction, and the recurrence $a_k=(k-1) a_{k-1}+(k-2)!$

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Use the PMI to prove the following for all natural numbers $3^n≥1+2^n$

Published on 13 Apr 2026 - 17:25

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Induction T/F questions. How to know what the counterexample is.

What is wrong with the proof

module of sum is less than...

Proof a Sum with real numbers

Proving $1\cdot1! + 2\cdot2! + 3\cdot3! + ... + k\cdot k! = (k+1)! - 1$

Show $\frac{3\cdot 7\cdot 11\cdot _{...}\cdot\left(4n-1\right)}{5\cdot9\cdot13\cdot _{...}\cdot \left(4n+1\right)\:}<\sqrt{\frac{3}{4n+3}}$ for $n>0$

Mathematical Induction Proof: $1/\sqrt1 + 1/\sqrt2+...+1\sqrt n \ge \sqrt n$

Induction, set theory drama

Proof By Induction for function

Induction from n to 1

Proving that $\sum_{j=0}^n 2^j=2^{n+1}-1$ for $n\geq 0$ by induction

Prove that a group of size $\ge18$ people can be assembled from groups of 4 and 7

The kth derivative of $f(x)=\log^2 x$ by induction, and the recurrence $a_k=(k-1) a_{k-1}+(k-2)!$

Use the PMI to prove the following for all natural numbers $3^n≥1+2^n$

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