Algebra 2, 2008
34

 PAGE: 634 SET: Exercises PROBLEM: 34

The arithmetic series is .

The nth term of an arithmetic sequence is .

Where is first term of the sequence and d is common difference.

Here .

Common difference ,

So d = 7.

The nth term of an arithmetic sequence is .

(Substitute )

Distribute terms using distributive property: .

(Multiply: )

(Subtract: )

Apply addition property of equality: a = b then .

Apply division property of equality: a = b then .

(Divide each side by 7)

(Cancel common terms)

(Divide: )

The sum of an arithmetic series .

Where is the first term and is the nth term.

(Substitute )

(Multiply: )

(Divide: )

The sum of the arithmetic series is 721.

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