Sum Of First Nth Terms Gp

graph TB A["Sum of first nth terms (GP)"] B[Geometric Progression] C["Formula: S_n = a(1 - r^n) / (1 - r)"] D[Examples] E[Applications] A --> B A --> C A --> D A --> E B --> F["Definition: a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the ratio"] C --> G["Where: S_n is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms"] D --> H[Example 1] D --> I[Example 2] E --> J[In finance] E --> K[In physics]