New Zealand
Level 7 - NCEA Level 2

# Notation for a Series

## Interactive practice questions

The sum of the terms of a sequence is:

always divergent

A

a series

B

always finite

C

always divergent

A

a series

B

always finite

C
Easy
Less than a minute

Write the following series using sigma notation.

$4+8+12+16+20+\text{. . .}$4+8+12+16+20+. . .

Consider the series $-3+9-27+81-243+729$3+927+81243+729.

Consider the series:

$\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}+\frac{1}{5^3}$113+123+133+143+153

Rewrite the series using sigma notation in the form $\sum_{k=\editable{}}^{\editable{}}\editable{}$k=.

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems