Concept explainers
To calculate: To write an equation that describes the sequence
Answer to Problem 11MCQ
Equation that describes the sequence is
Explanation of Solution
Given information:Sequence is
Formula Used:
Term: In a sequence, each number is referred to as a term
Term Number: In a sequence, the position of the given term is referred to as term number.
When the difference between the consecutive terms of a sequence is common, then the sequence is an arithmetic sequence.
Nth number of arithmetic sequence is given as
Calculation:
Sequence is given as follow:
Here, the first term of the sequence is
Also, the common difference is
Since the difference is common, hence the sequence in arithmetic sequence.
Let term is denoted by
Thus, nth term of arithmetic sequence is given as
Substituting the values in above equation,
Also, 20thterm of sequence is calculated as follows:
Conclusion:
Hence, the equation that describes the sequence is
Chapter 8 Solutions
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