Question

. Prove that 2^(2n-1) + 3^(2n-1) is divisible by 5 for every natural number n.

. Prove that 2^(2n-1) + 3^(2n-1) is divisible by 5 for every natural number n.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
prove that 2^2n-1 is divisible by 3 for all natural numbers n .. please show in...
prove that 2^2n-1 is divisible by 3 for all natural numbers n .. please show in detail trying to learn.
Prove the following using induction: (a) For all natural numbers n>2, 2n>2n+1 (b) For all positive...
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 that for n>=1, (2n-1)^2-1 is divisible by 8.
Prove that for n>=1, (2n-1)^2-1 is divisible by 8.
Prove by mathematical indution: If n is a natural number, then 1/2*3 + 1/3*4 + 1/4*5...
Prove by mathematical indution: If n is a natural number, then 1/2*3 + 1/3*4 + 1/4*5 +....+1/(n +1)(N+2)=n/2n+4
Prove that for each positive integer n, (n+1)(n+2)...(2n) is divisible by 2^n
Prove that for each positive integer n, (n+1)(n+2)...(2n) is divisible by 2^n
Prove by induction that if n is an odd natural number, then 7n+1 is divisible by...
Prove by induction that if n is an odd natural number, then 7n+1 is divisible by 8.
If n is a natural number, then 1 * 5 + 2 * 6 + 3...
If n is a natural number, then 1 * 5 + 2 * 6 + 3 * 7 + ------ + n(n +4) = n(n+1)(2n+13)/6.
Prove that 1/(2n) ≤ [1 · 3 · 5 · ··· · (2n − 1)]/(2 ·...
Prove that 1/(2n) ≤ [1 · 3 · 5 · ··· · (2n − 1)]/(2 · 4 · ··· · 2n) whenever n is a positive integer.
(10) Use mathematical induction to prove that 7n – 2n  is divisible by 5 for all n...
(10) Use mathematical induction to prove that 7n – 2n  is divisible by 5 for all n >= 0.
Prove that (n − 1)^3 + n^ 3 + (n + 1)^3 is divisible by 9...
Prove that (n − 1)^3 + n^ 3 + (n + 1)^3 is divisible by 9 for all natural numbers n.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT