arithmetic sequence
Edited BY: ali samhat
Edit Date: 2017-05-29 17:20:32

Arithmetic Sequence

In an Arithmetic Sequence the difference between one term and the next is a constant. In other words, we just add the same value each time ... infinitely.

In General we could write an arithmetic sequence like this: {a, a+d, a+2d, a+3d, ... }


  • a is the first term, and
  • d is the difference between the terms (called the "common difference")


We can write an Arithmetic Sequence as a rule: xn = a + d(n-1)

Summing an Arithmetic Series 

To sum up the terms of this arithmetic sequence:

a + (a+d) + (a+2d) + (a+3d) + ...

use this formula: 



Given a 100 terms of arithmetic sequence, first term is  3, and the difference is 4, a new term is inserted between each tow terms and a new arithmetic sequence is received. What is the sum of terms of the new sequence?

Question Created By: ali samhat
Creation Date: 2017-05-29 16:18:29
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