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

Transcribed Image Text:**Question:**
What is the partial sum of terms 12 to 15 of the arithmetic sequence 96, 85, 74, 63, ...?
**Options:**
- a) -58
- b) -166
- c) 285
- d) 426
**Explanation:**
This question asks for the partial sum of specific terms in an arithmetic sequence. The sequence provided starts with the terms 96, 85, 74, and 63, indicating a common difference, which can be calculated as follows:
To determine the common difference (\(d\)):
- \(d = 85 - 96 = -11\)
Once the common difference is known, it can be used to find the subsequent terms necessary to identify the 12th to 15th terms in the sequence. After finding these terms, their sum can be calculated to determine the correct answer.
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