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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![**Transcription for Educational Website:**
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Write the sum using sigma notation:
\[ \cos(3) + \cos(12) + \cos(21) + \cos(30) + \ldots \]
\[ = \sum_{n=0}^{\infty} \]
(Note: There is a blank space where the expression for the general term of the series should be completed.)
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**Explanation:**
The prompt asks to express the infinite series of cosine functions, where each term appears to increase its argument by 9 degrees (i.e., 3, 12, 21, 30, ...), using sigma notation. Sigma notation is a way of writing sums in a concise form, involving the Greek letter sigma (Σ) to indicate summation, with a general expression for the term of the series dependent on the index variable \( n \).
The detailed expression inside the sigma and limits of summation are intended to be filled in to describe the series.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfea0b1d-fbd9-4aaf-b240-b46cb35251fe%2F9f751c44-0523-42ac-9065-970e5af94420%2F3o1yf87_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
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Write the sum using sigma notation:
\[ \cos(3) + \cos(12) + \cos(21) + \cos(30) + \ldots \]
\[ = \sum_{n=0}^{\infty} \]
(Note: There is a blank space where the expression for the general term of the series should be completed.)
---
**Explanation:**
The prompt asks to express the infinite series of cosine functions, where each term appears to increase its argument by 9 degrees (i.e., 3, 12, 21, 30, ...), using sigma notation. Sigma notation is a way of writing sums in a concise form, involving the Greek letter sigma (Σ) to indicate summation, with a general expression for the term of the series dependent on the index variable \( n \).
The detailed expression inside the sigma and limits of summation are intended to be filled in to describe the series.
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