Who invented mathematical induction?
Giovanni Vacca
Brahmagupta
Isaac Newton
Hypatia
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
Who formulated the axiom of structural induction for the natural numbers?
Euler
Euclid
Peano
Pythagoras
Say Yes or No.
In axiom, the successor functions of every natural number yields a natural number.
Yes
No
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
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
Who used the forward induction to prove the inequality of arithmetic and geometric means?
Hipparchus
Augustin Louis Cauchy
Bhāskara
Friedrich Gauss
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
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]
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
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