Sequence Defined by a Recurrence

Rarely Tested

Sequence Defined by a Recurrence

## Formula

If:

$$a_{n+1}=a_n+d$$

then the sequence is an AP:

$$a_n=a_1+(n-1)d$$

If:

$$a_{n+1}=ra_n$$

then the sequence is a GP:

$$a_n=a_1r^{n-1}$$

## Usage

- Used to convert recurrence relations into explicit formulas for the $$n$$th term.

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