# Sum of a Linear Number Sequence Calculator

Created by Mateusz Mucha
Reviewed by Steven Wooding and Jack Bowater
Last updated: May 22, 2020
The sum of a linear number sequence calculator adds up numbers in a linear sequence.

This calculator deals with finding the sum of a linear number sequence - a set of values where every consecutive one differs by the same amount from the previous one. An example would be 20, 23, 26, 29 - it's a sequence of 4 numbers, with 20 as the initial value, 29 as the final value, and 3 as the difference between the successive figures. The sum of all of these numbers is 98.

If you need to quickly find the value of a particular number in a linear number sequence, check out the arithmetic sequence calculator.

## A practical example.

Let's say we're selling storage space for photos of goats on the cloud. Customers pay us an amount of money that's directly proportional to the amount of data they upload - \$1 per 1 Gigabyte. Alice initially uploads 5GB of family photos and then adds an additional 2GB per month. For the purpose of our analytics, we want to know how much she stores after a year and how much her business is worth to us during that time. Below, you'll find a table with all of the values and a pre-filled calculator widget.

MonthPaymentSum
1 5 5
2 7 12
3 9 21
4 11 32
5 13 45
6 15 60
7 17 77
8 19 96
9 21 117
10 23 140
11 25 165
12 27 192
Mateusz Mucha
Initial value
Difference
Periods
Final value
Sum
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