In more detail
In the arithmetic sequence 3, 7, 11 the 10th term is 3 + 9 × 4 = 39; in the geometric sequence 2, 6, 18 the 6th term is 2 × 3⁵ = 486. The sum of the first n terms of an arithmetic sequence is n × (first + last) / 2.
A number sequence is an ordered list of numbers that follows a rule; the common kinds are arithmetic (add a constant) and geometric (multiply by a constant).
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In the arithmetic sequence 3, 7, 11 the 10th term is 3 + 9 × 4 = 39; in the geometric sequence 2, 6, 18 the 6th term is 2 × 3⁵ = 486. The sum of the first n terms of an arithmetic sequence is n × (first + last) / 2.