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3 Cards in this Set
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The general term for an arithmetic sequence is often denoted as "T_n" and can be expressed as: |
T_n = a_1 + (n - 1) * dWhere:- "T_n" is the nth term of the sequence.- "a_1" is the first term of the sequence.- "n" is the position of the term you want to find.- "d" is the common difference between consecutive terms in the sequence. |
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The general term for a quadratic sequence is often expressed in the form of a quadratic function. It can be denoted as: |
T_n = an^2 + bn + cWhere:- "T_n" is the nth term of the sequence.- "a," "b," and "c" are constants that determine the behavior of the sequence.In a quadratic sequence, the terms are generated based on a quadratic equation, and the coefficients "a," "b," and "c" dictate the specific pattern and values of the terms in the sequence. |
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The general term for a geometric sequence is often denoted as "a_n" and can be expressed as: |
a_n = a_1 * r^(n-1)Where:- "a_n" is the nth term of the sequence.- "a_1" is the first term of the sequence.- "r" is the common ratio between consecutive terms in the sequence.- "n" is the position of the term you want to find.In a geometric sequence, each term is found by multiplying the previous term by the common ratio "r." |
