Recognize that sequences are functions sometimes defined recursively whose domain is a subset of the integers.

Sample Practice Questions (3)

The bar chart below shows the number of blocks used in the first four steps of a pattern. Which recursive formula represents the number of blocks,

a_{n}

, in step

n

a_{1} = 3, a_{n} = a_{n - 1} + 3

a_{1} = 3, a_{n} = 3 a_{n - 1}

a_{1} = 1, a_{n} = a_{n - 1} + 3

a_{n} = 3 n

The graph below shows the first three terms of a sequence. Which recursive formula represents this sequence?

a_{1} = 2, a_{n} = a_{n - 1} + 2

a_{1} = 2, a_{n} = 2 a_{n - 1}

a_{1} = 0, a_{n} = a_{n - 1} + 2

a_{1} = 2, a_{n} = a_{n - 1} + 1

The graph shown below represents the first three terms of a sequence. Which recursive formula correctly describes this sequence?

a_{1} = 5, a_{n} = a_{n - 1} + 3

a_{1} = 3, a_{n} = a_{n - 1} + 5

a_{1} = 5, a_{n} = 3 a_{n - 1}

a_{n} = 3 n + 2

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