Question 6 determine the value of > 5" 1 3 1 and 1 1 Σ If - 5" n=1 7" n=1 7" n=1 Provide your answer below:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question**

If 

\[ \sum_{n=1}^{\infty} \frac{1}{5^n} = \frac{1}{4} \]

and 

\[ \sum_{n=1}^{\infty} \frac{1}{7^n} = \frac{1}{6} \]

determine the value of 

\[ \sum_{n=1}^{\infty} \left( \frac{6}{5^n} - \frac{3}{7^n} \right). \]

**Provide your answer below:**

[Answer Box]
Transcribed Image Text:**Question** If \[ \sum_{n=1}^{\infty} \frac{1}{5^n} = \frac{1}{4} \] and \[ \sum_{n=1}^{\infty} \frac{1}{7^n} = \frac{1}{6} \] determine the value of \[ \sum_{n=1}^{\infty} \left( \frac{6}{5^n} - \frac{3}{7^n} \right). \] **Provide your answer below:** [Answer Box]
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