Arithmetic Sequence Calculator
Calculate nth term, sum, and generate arithmetic sequences with common difference.
Sequence Parameters
Sequence Terms
a1 = 2a2 = 5a3 = 8a4 = 11a5 = 14a6 = 17a7 = 20a8 = 23a9 = 26a10 = 29
Formulas Used
nth Term Formula
an = a1 + (n - 1) x d
Sum Formula
Sn = (n/2) x (a1 + an)
Term #10 (a10)
29
ana10 (nth Term)
29
SnSum of n Terms
155
xAverage
15.5
dCommon Difference
3
Step-by-Step Calculation
Given values
a1 = 2, d = 3, n = 10
Calculate nth term
a10 = 2 + (10 - 1) x 3 = 29
Calculate sum
S10 = (10/2) x (2 + 29) = 155
About Arithmetic Sequences
Definition
An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant. This constant is called the common difference (d).
Examples
- 2, 5, 8, 11, 14... (d = 3)
- 10, 7, 4, 1, -2... (d = -3)
- 1, 1.5, 2, 2.5, 3... (d = 0.5)