12.6.1: Key Terms

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Key Terms

annuity: An annuity is an investment that is a sequence of equal periodic deposits.

arithmetic sequence: An arithmetic sequence is a sequence where the difference between consecutive terms is constant.

common difference: The difference between consecutive terms in an arithmetic sequence, $a_{n} - a_{n - 1},$ is d, the common difference, for n greater than or equal to two.

common ratio: The ratio between consecutive terms in a geometric sequence, $\frac{a_{n}}{a_{n}},$ is r, the common ratio, where n is greater than or equal to two.

finite sequence: A sequence with a domain that is limited to a finite number of counting numbers.

general term of a sequence: The general term of the sequence is the formula for writing the nth term of the sequence. The nth term of the sequence, $a_{n},$ is the term in the nth position where n is a value in the domain.

geometric sequence: A geometric sequence is a sequence where the ratio between consecutive terms is always the same

infinite geometric series: An infinite geometric series is an infinite sum infinite geometric sequence.

infinite sequence: A sequence whose domain is all counting numbers and there is an infinite number of counting numbers.

partial sum: When we add a finite number of terms of a sequence, we call the sum a partial sum.

sequence: A sequence is a function whose domain is the counting numbers.

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