Question

Prove that 22^?+24?−10 is divisible by 18 for natural numbers ?>0.

BY INDUCTION METHOD PLEASE

Answer #1

Prove by induction that if n is an odd natural number,
then 7n+1 is divisible by 8.

Using the method of induction proof, prove:
If m and n are natural numbers, then so are
n + m and nm.

Prove by induction that if a and b are natural numbers, then a +
b and ab are also natural numbers.

prove that 2^2n-1 is divisible by 3 for all natural numbers n ..
please show in detail trying to learn.

(10) Use mathematical induction to prove that
7n – 2n is divisible by 5
for all n >= 0.

Prove that 5n2 +15n is divisible by 10 for every n ≥ 2, by
mathematical induction.

Prove the following using induction:
(a) For all natural numbers n>2, 2n>2n+1
(b) For all positive integersn,
1^3+3^3+5^3+···+(2^n−1)^3=n^2(2n^2−1)
(c) For all positive natural numbers n,5/4·8^n+3^(3n−1) is
divisible by 19

Prove by induction.
a ) If a, n ∈ N and a∣n then a ≤ n.
b) For any n ∈ N and any set S = {p1, . . . , pn} of prime
numbers, there is a prime number which is not in S.
c) Prove using strong induction that every natural number n >
1 is divisible by a prime.

Use the principle of Mathematics Induction to prove that for all
natural numbers 3^(3n)-26n-1 is a multiple of 169.

Prove by induction on n that 13 | 2^4n+2 + 3^n+2 for all natural
numbers n.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago