Induction Quiz
10 questions · easy to harder · Discrete Math · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 0 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Prove 6n − 1 is divisible by 5 by inductionType the answer.
2 Question 2
Prove 5n − 1 is divisible by 4 by inductionType the answer.
3 Question 3
Prove n2 + n is divisible by 2 by inductionType the answer.
4 Question 4
Prove 8n − 3n is divisible by 5 by inductionType the answer.
5 Question 5
Prove 32n − 1 is divisible by 8 by inductionType the answer.
6 Question 6
Prove n3 − n is divisible by 3 by inductionType the answer.
7 Question 7
Prove 9n − 1 is divisible by 8 by inductionType the answer.
8 Question 8
Prove 2n3 + 3n2 + n is divisible by 6 by inductionType the answer.
9 Question 9
Prove 10n − 1 is divisible by 9 by inductionType the answer.
10 Question 10
Prove 5n + 7 is divisible by 4 by inductionType the answer.