What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this seque
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I assume you're asking to solve for the n-th term in the sequence, .
From the given recursive rule,
and by substitution,
Similarly,
The pattern continues, so that we can write the n-th term in terms of the 1st one:
So the first few terms of the sequence are
{10, 12, 14, 16, 18, 20, …}