Question

Answer 1

a) \(37^{n+1}-37^n=37^n\left(37-1\right)=37^n\cdot36⋮6^2\)

b) \(79^{n+5}+79^{n+4}=79^{n+4}\left(79+1\right)=79^{n+4}\cdot80⋮20\)

c) \(13^{n+2}-13^{n+1}+13^n\)

\(=13^n\cdot169-13^n\cdot13+13^n\)

\(=13^n\left(169-13+1\right)\)

\(=13^n\cdot157⋮157\)