U3 - Sequences

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6 Terms

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Arithmetic sequence formula

An arithmetic sequence formula represents a sequence of numbers in which the difference between consecutive terms is constant. The nth term can be found using the formula: an = a0 + (n-1)d, where a0 is the first term and d is the common difference.

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Geometric sequence formula

A geometric sequence formula represents a sequence of numbers where each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio. The nth term can be calculated using the formula: an = a0*(r)n-1 where a0 is the first term and r is the common ratio.

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Geometric sequence

A sequence where each term is obtained by multiplying the previous term by a constant called the common ratio. This type of sequence grows or decays exponentially.

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Arithmetic sequence

A sequence of numbers in which the difference between consecutive terms is constant. It starts with a defined first term and continues by adding a constant value.

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Common difference

The common difference is the constant value that is added to each term of an arithmetic sequence to obtain the next term. It can be calculated as the difference between any two successive terms.

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Common ratio

The constant factor by which each term of a geometric sequence is multiplied to obtain the next term.