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Concept explainers
Find next three terms of the sequence.
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Answer to Problem 19QC
The next three terms are
Explanation of Solution
Given:
The sequence:
Concept Used:
An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one and the result is always the same or constant then it is an arithmetic sequence.
In an Arithmetic Sequence the difference between one term and the next is a constant.
Calculation:
The sequence:
Each term in an arithmetic sequence can be expressed in terms of the first term
Terms | Symbol | In terms of | Numbers |
Fifth term | |||
Sixth term | |||
Seventh term |
The next three terms of the sequence
Thus, the next three terms are:
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