NZ Level 7 (NZC) Level 2 (NCEA)
First Order Linear Recurrences Introduction

## Interactive practice questions

Consider the sequence defined by $a_n=3n-3$an=3n3 for $n\ge1$n1.

a

What is the first term of the sequence?

b

What is the second term of the sequence?

c

What is the third term of the sequence?

d

What is the fourth term of the sequence?

e

What is the fifth term of the sequence?

Easy
Approx 2 minutes

Consider the sequence defined by $a_n=-4\left(n-2\right)$an=4(n2) for $n\ge1$n1.

Consider the sequence defined by $a_n=2^{n+1}$an=2n+1 for $n\ge1$n1.

Consider the sequence defined by $a_n=\left(-3\right)^{n+2}$an=(3)n+2 for $n\ge1$n1.

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems