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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 .
(Add 1 to each side)
(Apply additive inverse property: )
(Apply additive identity property: )
(Add: )
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 )
(Add: )
(Multiply: )
(Divide: )
The sum of the arithmetic series is 721.
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