Write arithmetic and geometric sequences both recursively and with an explicit formula use them to model situations and translate between the two forms.

Sample Practice Questions (3)

Two sequences are graphed below. Sequence A is arithmetic and Sequence B is geometric. Which statement is true regarding their growth?

ASequence A will eventually exceed Sequence B.

BSequence B will eventually exceed Sequence A.

CBoth sequences grow at a constant rate of change.

DThe common difference of A is equal to the common ratio of B.

The points plotted on the coordinate plane represent the first three terms of a sequence. Write an explicit formula for this sequence.

a_{n} = 2 n + 2

a_{n} = 3 n + 1

a_{n} = 3 n + 4

a_{n} = 4 n - 1

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

👩‍🏫

Generate a full auto-graded worksheet for NY-F.BF.2 in seconds. Track every student's mastery.

👨‍👩‍👧

See exactly how your child scores on NY-F.BF.2 and get a personalized practice plan.