Step-by-step Answer
PAGE: 634SET: ExercisesPROBLEM: 34
Please look in your text book for this problem Statement

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.


"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."


"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only