Concept explainers
To verify: The claim of the friend regarding range of a function representing an arithmetic sequence.
Answer to Problem 50E
The claim made by the friend is incorrect.
Explanation of Solution
Given information:According to the friend, the range of a function representing an arithmetic sequence contains only positive numbers or only negative numbers.
The claim made by the friend is incorrect.
Consider the case when an arithmetic sequence starts with a positive term and then starts giving negative values, for example, the first term of the arithmetic sequence
Similarly, consider the case when an arithmetic sequence starts with a negative term and then starts giving positive values, for example, the first term of the arithmetic sequence
So the above examples contradict the friend’s claim that the range of a function representing an arithmetic sequence contains only positive numbers or only negative numbers.
Thus, the friend is incorrect.
Chapter 4 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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