Honors Pre-Calculus A, 3rd Hour, Winter 2016: Arithmetic Sequence

Tuesday, May 10, 2016

9.2 Arithmetic Sequences and Partial Sums

A sequence whose consecutive terms have a common difference is called an arithmetic sequence

The sequence

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is arithmetic if there is a number d such that

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The number d is the common difference of the arithmetic sequence

Ex.

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The nth term of an arithmetic sequence has the form

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where d is the common difference between consecutive terms of the sequence

Ex.

Find a formula for the nth term of the arithmetic sequence whose common difference is 3 and whose first term is 2.

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Therefore,

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Find the 6th term of the above sequence.

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The sum of a finite arithmetic sequence with n terms is

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Find the sum of the integers from 1 to 100

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