5.01 Exploring sequences

Adaptive

Worksheet

Interactive practice questions

Consider the pattern.

How could we describe the pattern?

Subtracting $3$3

Adding $3$3

Adding $2$2

Multiplying by $2$2

How many $square$ s will the next step in the pattern contain?

Easy

1min

Consider the pattern.

Easy

1min

Consider the pattern.

$6,9,12$6,9,12$,\dots$,…

Easy

1min

The total volume of water that has dripped from a tap is measured each minute and displayed in the table below.

Hard

2min

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

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

Write a function that describes a relationship between two quantities.

Determine an explicit expression, a recursive process, or steps for calculation from a context.