Algebra 2, 2008

 PAGE: 633 SET: Exercises PROBLEM: 1

The arithmetic series is .

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

Here ,

Common difference ,

So .

The nth term of an arithmetic sequence is .

(Substitute )

Distribute terms using distributive property: .

(Subtract: )

Apply addition property of equality: a = b then .

(Add: 95 + 1 = 96)

Apply division property of equality: a = b then .

(Divide each side by 6)

(Cancel common terms)

(Divide: )

Apply sum of an arithmetic series formula: .

(Substitute )

(Add: 5 + 95 = 100)

(Divide: )

(Multiply: )

The sum of the arithmetic series is 800.

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