Home Quiz Take an Interesting Quiz On "Mathematical Induction"
Preview (10 questions)
1 Question
30 seconds
Q.

Who invented mathematical induction?

Giovanni Vacca

Brahmagupta

Isaac Newton

Hypatia
2 Question
30 seconds
Q.

What is the principle of induction?

A way of proving that P(n) is true for all integers n = a

A way of proving that P(n) is true for all integers n ≥ a

A way of proving that P(n) is false for all integers n = a

A way of proving that P(n) is False for all integers n ≥ a
3 Question
30 seconds
Q.

Who formulated the axiom of structural induction for the natural numbers?

Euler

Euclid

Peano

Pythagoras
4 Question
30 seconds
Q.

Say Yes or No.


In axiom, the successor functions of every natural number yields a natural number.


Yes

No
5 Question
30 seconds
Q.

For each ordinal number n, if P(m) holds for all m < n, then P(n) also holds what type of induction is this?

Regular induction

Complete induction

Finite induction

Transfinite induction
6 Question
30 seconds
Q.

What is the complete induction of Fibonacci numbers?

Fn=Fn+1+Fn−2

-Fn=Fn−1+Fn+2

Fn=Fn−1+Fn−2

-Fn=Fn-1-Fn−2
7 Question
30 seconds
Q.

Who used the forward induction to prove the inequality of arithmetic and geometric means?

Hipparchus

Augustin Louis Cauchy

Bhāskara

Friedrich Gauss
8 Question
30 seconds
Q.

Define a trigonometric inequality.

An inequality involving trigonometric functions of an unknown angle

An equality involving trigonometric functions of an angle

An inequality involving trigonometric functions of an unknown point

An equality involving trigonometric functions of points
9 Question
30 seconds
Q.

What is the formula for the sum of n consecutive natural numbers?

-n/2[2a - (n – 1)d]

-n/2[2a + (n – 1)d]

n/2[2a - (n – 1)d]

n/2[2a + (n – 1)d]
10 Question
30 seconds
Q.

What is the book written by Pascal about the principle of induction?

How to Solve It

Traité du triangle arithmétique

Hypatia's heritage

The Beginning of Infinity