Quickly calculate the nth term, common ratio, and sum of a geometric sequence. Ideal for mathematics students, financial planning, or understanding exponential growth. Enter your values and get instant results for any geometric progression.
Formula:
The formula for the nth term (an) of a geometric sequence is:
an = a × r(n-1)
The formula for the sum of the first n terms (Sn) is:
Sn = a × (1 - rn) / (1 - r) (for r ≠ 1)
Sn = n × a (for r = 1)
- a: The first term of the sequence
- r: The common ratio between consecutive terms
- n: The term number in the sequence