find the general term of the series 4, 7, 10 ,13
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The general term of the series is 3n + 1.
The given series is an arithmetic sequence with a common difference of 3.
The first term is 4, so the nth term of the sequence can be expressed as:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
Substituting the values given in the problem, we get:
an = 4 + (n-1)3
Simplifying the expression, we get:
an = 3n + 1
Therefore, the general term of the series is 3n + 1.
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