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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 1 to each side)
(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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