Mathematical Induction Proof

  • #1

Homework Statement


Prove that
[tex]
11^n - 4^n
[/tex]
is a multiple of 7

Homework Equations


N/A


The Attempt at a Solution


I substituted k+1 in for n and simplified to get
[tex]
11(11^k)-4(4^k)
[/tex]
but after this point I get stuck. Any help would be appreciated.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Use that 11=7+4.
 

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