Question

Prove that 52n – 6n + 8 is divisible by 9 for all positive integers n. 27 which is divisible by 9. ​

Answer 1

Prove by induction that 8n−18n−1 for any positive integer nn is divisible by 77.

Prove by induction that 8n−18n−1 for any positive integer nn is divisible by 77.Hint: It is easy to represent divisibility by 77 in the following way: 8n−1=7⋅k8n−1=7⋅k where k is a positive integer.

Prove by induction that 8n−18n−1 for any positive integer nn is divisible by 77.Hint: It is easy to represent divisibility by 77 in the following way: 8n−1=7⋅k8n−1=7⋅k where k is a positive integer.This question confused me because I think the hint isn't true. If n=1n=1 and k=2k=2 for example, then we end up with 7=147=14 which is obviously invalid. Does this mean the n≤kn≤k in order for the hint to be true.

Answer 2

Answer:

HOPE IT'S HELPFUL!!!!!!