Unlock the power of sequences with our free online Sequence Calculator. Whether you're dealing with arithmetic or geometric progressions, this intuitive tool helps you instantly find the nth term and the sum of the first 'n' terms. Perfect for students, teachers, and anyone needing quick, accurate sequence analysis.
Formula:
Arithmetic Sequence Formulas
Nth Term (an): an = a1 + (n - 1)d
Sum of N Terms (Sn): Sn = n⁄2 (2a1 + (n - 1)d)
Where:
- a1 = The first term of the sequence
- d = The common difference between consecutive terms
- n = The term number you want to find or the number of terms to sum
Geometric Sequence Formulas
Nth Term (an): an = a1 * r(n - 1)
Sum of N Terms (Sn) (if r ≠ 1): Sn = a1 * (1 - rn)⁄(1 - r)
Sum of N Terms (Sn) (if r = 1): Sn = n * a1
Where:
- a1 = The first term of the sequence
- r = The common ratio between consecutive terms
- n = The term number you want to find or the number of terms to sum