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
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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
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