NZ Level 7 (NZC) Level 2 (NCEA) Graphs and Tables - GP's

## Interactive practice questions

The $n$nth term of a geometric progression is given by the equation $T_n=2\times3^{n-1}$Tn=2×3n1.

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

What is the common ratio between consecutive terms?

c

Plot the points in the table that correspond to $n=1$n=1, $n=2$n=2, $n=3$n=3 and $n=4$n=4.

d

If the plots 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 a geometric progression is given by the equation $T_n=6\times\left(-2\right)^{n-1}$Tn=6×(2)n1.

The $n$nth term of a geometric progression is given by the equation $T_n=25\times\left(\frac{1}{5}\right)^{n-1}$Tn=25×(15)n1.

The $n$nth term of a geometric progression is given by the equation $T_n=-81\times\left(\frac{-4}{3}\right)^{n-1}$Tn=81×(43)n1.

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems