What is the sum of the arithmetic sequence 140, 135, 130 , if there are 35 terms?

Aldo Ashley

Aldo Ashley

Answered question

2022-10-30

What is the sum of the arithmetic sequence 140, 135, 130 , if there are 35 terms?

Answer & Explanation

Hilfeform5c

Hilfeform5c

Beginner2022-10-31Added 14 answers

If there are 35 terms, the last term will be 34 steps down from the first. The common difference is −5.

The last term will be 140 - ( 34 5 ) = - 30

Calculating the sum:
You take the mean between the highest an lowest term, and multiply by the number of terms:

S u m = 140 + ( - 30 ) 2 35 = 1925

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