
Concept explainers
Thenext term of the arithmetic sequence 7, 13, 19, 25, 31, ...

Answer to Problem 1STP
Explanation of Solution
Given:
Thearithmetic sequence: 7, 13, 19, 25, 31, ...
Concept Used:
In an arithmetic sequence, the difference between to consecutive terms is always equal.
Calculation:
In order to find the next term in the given arithmetic sequence, observe that the common difference between two consecutive terms is
So, the next term of the sequence can be obtained by adding this common difference to the last term of the sequence. That is,
Thus, the next term of the given arithmetic sequence is 37.
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