Arithmetic Sequences: Formulas

Front

A sequence of numbers with a constant difference.

Back

Arithmetic sequence

Front

The fixed amount added to each term.

Back

Common difference

Front

a_n = a_1 + (n-1)d

Back

Explicit formula

Front

a_n = a_(n-1) + d

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Recursive formula

Front

The initial term of the sequence.

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First term (a_1)

Front

The term at position n in the sequence.

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n-th term (a_n)

Front

Represents the common difference.

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d in formulas

Front

Use explicit or recursive formula.

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Finding a_n

Front

2, 5, 8, 11, ... (d=3)

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Sequence example

Front

To find specific terms in a sequence.

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Use of formulas