Arithmetic Sequence Calculator
Find the nth term and the sum of the first n terms of an arithmetic sequence, and list its terms.
Term 10 (aₙ)
39
- Sum of the first 10 terms
- 210
- Terms
- 3, 7, 11, 15, 19, 23, 27, 31, 35, 39
Show the work
n − 1 steps of size d
(n − 1) × d
(10 − 1) × 4 = 36
Add the first term
an = a1 + (n − 1)d
3 + 36 = 39
How it works
aₙ = a₁ + (n − 1)d; Sₙ = n(a₁ + aₙ) ÷ 2
Questions
- How does the arithmetic sequence calculator work?
- aₙ = a₁ + (n − 1)d; Sₙ = n(a₁ + aₙ) ÷ 2.
- What do I need to enter?
- First term (a₁), Common difference (d), Term number (n). Optional fields can be left blank.
Related tools
- Geometric Sequence CalculatorFind the nth term, the sum of n terms and the infinite sum of a geometric sequence.
- Exponential Growth & Decay CalculatorProject a quantity that grows or shrinks by a fixed percent per period, with its doubling time or half-life.
- Summation (Sigma) CalculatorAdd up an expression for i from a start value to an end value — sigma notation, evaluated.
- Numbers to Words ConverterSpell out any number in English words, or write a dollar amount the way it goes on a check.
- Final Exam Grade CalculatorFind the score you need on the final exam to finish the course with the grade you want.
- Number Scales ConverterConvert between counting words — dozens, grosses, thousands, lakhs, crores, millions and billions.
Want this on your site? Embed the arithmetic sequence calculator.