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Prove that 1 2 3 + 2 3 4 + + n (n + 1) (n + 2) = n(n+1)(n+2)(n+3)4 for every

Chapter 4, Problem 4

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QUESTION:

Prove that 1 2 3 + 2 3 4 + + n (n + 1) (n + 2) = n(n+1)(n+2)(n+3)4 for every positiveinteger n.

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QUESTION:

Prove that 1 2 3 + 2 3 4 + + n (n + 1) (n + 2) = n(n+1)(n+2)(n+3)4 for every positiveinteger n.

ANSWER:

Step 1 of 3

Mathematical Induction is a process to prove property against every integer by putting values into the given equation and checking for true. Then test for some value   and .

Given that

         for every positive integer n.

To prove this, we use Mathematical induction:

For

         

For  

         

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