New Zealand
Level 7 - NCEA Level 2

# Graphs and Tables - AP's

## Interactive practice questions

The $n$nth term of an arithmetic progression is given by the equation $T_n=12+4\left(n-1\right)$Tn=12+4(n1).

a

Complete the table of values.

 $n$n $T_n$Tn​ $1$1 $2$2 $3$3 $4$4 $10$10 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

By how much are consecutive terms in the sequence increasing?

c

Plot the points in the table on the graph.

d

If the points on the graph were joined, they would form:

a straight line

A

a curved line

B

a straight line

A

a curved line

B
Easy
Approx 3 minutes

The $n$nth term of an arithmetic progression is given by the equation $T_n=15-5\left(n-1\right)$Tn=155(n1).

The plotted points represent terms in an arithmetic sequence:

The plotted points represent terms in an arithmetic sequence:

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems