Our Geometric Progression Calculator helps you quickly determine the Nth term or the sum of a geometric sequence. Input your first term, common ratio, and the number of terms to solve complex series problems with ease. Perfect for students, educators, and anyone working with mathematical sequences.
Formula:
A geometric progression (GP) or geometric sequence is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
- Nth Term (an):
an = a × r(n-1) - Sum of N Terms (Sn):
Sn = a × (1 - rn) / (1 - r)(where r ≠ 1) - Sum of N Terms (Sn):
Sn = n × a(where r = 1)
Where:
- a = First Term of the sequence
- r = Common Ratio
- n = Number of Terms
- an = The Nth Term
- Sn = The Sum of the first N terms