Concept explainers
To find:Whether the sequence is arithmetic. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.
Answer to Problem 16CT
The sequence is arithmetic.
The recursive formula is
The explicit formula is
Explanation of Solution
Given information:
Calculation:
Step-1:
Difference between 2nd term and 1st term
Difference between 3rd term and 2nd term
Difference between 4th term and 3rd term
Since, the sequence has a common difference of 0.25 the sequence is arithmetic.
Step-2:
Let
Let
Value of term 1
Value of term 2
Value of term 3
Value of term 4
Value of term n
The recursive formula for the arithmetic sequence is
Step-3
The general form of an explicit formula is,
Substituting
The explicit formula for the arithmetic sequence is
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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