math
Sequence Calculator
Find the nth term and sum of an arithmetic or geometric sequence.
nth term
14
Sum of n terms
40
How it works
- 1Choose an arithmetic or geometric sequence.
- 2Enter the first term, the common difference (d) or ratio (r), and the number of terms (n).
- 3Read the nth term and the sum of the first n terms.
Use cases
- Find the nth term of a sequence for homework.
- Sum a series of payments or measurements.
- Explore arithmetic and geometric growth.
Frequently asked questions
What is an arithmetic sequence?
A sequence where each term increases by a fixed amount d. The nth term is a + (n − 1)d.
What is a geometric sequence?
A sequence where each term is multiplied by a fixed ratio r. The nth term is a × r^(n − 1).
How is the sum found?
Arithmetic: n ÷ 2 × (2a + (n − 1)d). Geometric: a × (rⁿ − 1) ÷ (r − 1), or a × n when r = 1.
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