Math Problem Statement

john wants to calculate the sum of a geometric series with 10 terms, where the 10th term is 5859375 and teh common ratio is 5/3. john solved the problem by considering another geometric series with common ratio 3/5. use johns method to calculate the sum.

Solution

To solve this problem using John’s method

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometric Series
Sum of a Geometric Series
Common Ratio

Formulas

Sum of a geometric series: S_n = a(1 - r^n) / (1 - r) for |r| < 1
nth term of a geometric series: a_n = a * r^(n-1)

Theorems

Geometric Series Theorem

Suitable Grade Level

Grades 10-12