Sum of Arithmetic Sequence Calculator
'Sum of Arithmetic Sequence Calculator' is an online tool that helps to calculate the sum of the arithmetic sequence. The arithmetic sequence is the sequence where the common difference remains constant between any two successive terms.
What is the Sum of Arithmetic Sequence Calculator?
Online Sum of Arithmetic Sequence calculator helps you to calculate the sum of arithmetic sequence in a few seconds. An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.
Sum of Arithmetic Sequence Calculator
NOTE: Please enter first term, common difference upto four digits only and enter number of terms upto three digits only.
How to Use Sum of Arithmetic Sequence Calculator?
Please follow the steps below to find the sum of the arithmetic sequence:
- Step 1: Enter the first term(a), the common difference(d), and the number of terms(n) in the given input box.
- Step 2: Click on the "Calculate" button to find the sum of the arithmetic sequence.
- Step 3: Click on the "Reset" button to clear the fields and find the sum of the arithmetic sequence for different values.
How to Find Sum of Arithmetic Sequence?
An arithmetic sequence is defined as a series of numbers, in which each term (number) is obtained by adding a fixed number to its preceding term.
Sum of arithmetic terms = n/2[2a + (n - 1)d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
Solved Examples on Sum of Arithmetic Sequence Calculator
Example 1:
Find the sum of the arithmetic sequence 1,3,5,7,9,11,13,15
Solution:
Given: a = 1, d = 2, n = 8
Sum of arithmetic terms = n/2[2a + (n - 1)d]
= 8/2[2(1) + (8 - 1)2]
= 4[2 + 14]
= 64
Example 2:
Find the sum of the arithmetic sequence 2, 7, 12, 17, 22
Solution:
Given: a = 2, d = 5, n = 5
Sum of arithmetic terms = n/2[2a + (n - 1)d]
= 5/2[2(2) + (5 - 1)5]
= 5/2[4 + 20]
= 5 × 12
= 60
Example 3:
Find the sum of the arithmetic sequence for a = 10, d = 9, and n = 20
Solution:
Given: a = 10, d = 9, n = 20
Sum of arithmetic terms = n/2[2a + (n - 1)d]
= 20/2[2(10) + (20 - 1)9]
= 10[20 + 171]
= 1910
Similarly, you can try the sum of arithmetic sequence calculator to find the sum of the arithmetic sequence for the following:
a) 2,4,6,8,10,12,14,15 b) 5,15,25,35,45,55,65