Sum of Series Calculator
Your details
Series type
i
Choose the type of series you want to sum.
Arithmetic (constant difference)
Geometric (constant ratio)
Geometric - infinite sum
Sum of squares (1² + 2² + ... + n²)
Sum of cubes (1³ + 2³ + ... + n³)
Harmonic (1 + 1/2 + 1/3 + ... + 1/n)
First term (a₁)
i
The first term of the series.
Common difference (d)
i
The constant added to each term to get the next. Can be negative.
Number of terms (n)
i
How many terms to include in the sum. Maximum 200.
Reset
Series sum (S)
100
The total sum of the series
Last term (aₙ)
19
n-th term formula
aₖ = 1 + (k - 1) × 2
Convergence
Partial sum (diverges as n→∞ unless d = 0 and a = 0)
First 5 terms
1, 3, 5, 7, 9
Total sum
100
Last term
19
▸
Series sum = 100.000000
The sum of 10 arithmetic terms starting at 1 with difference 2 is 100.0000.
The average (arithmetic mean) of the terms is 10.0000.
The series is increasing.
First terms: 1, 3, 5, 7, 9.
=
Powered by
OnlyCalculators