Using the

Technique of Finite Differences:

Examples and Problems

First, read

http://education.kitchingsmedia.com/FiniteDiffs_CK.html

Elaboration

EXAMPLES

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Sum of the first n integers. These are the triangular numbers.

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Sum of the first n squared integers.

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Sum of the first n cubed integers.

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Sum of the first n odd integers. Dealing with the non-zero first term

PROBLEMS

1. Use the Finite Differences strategy to find the nth term and the sum for the sequence that begins

 

2. Find the nth term and the sum for the sequence that begins

3. The Pentagonal numbers are

Find the nth term and the sum. Difference table:

From Clay Kitchings