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.