PATTERNS, FUR1 2015 VCAA 5 MC

A family bought a country property.

At the end of the first year, there were two thistles per hectare on the property.

At the end of the second year, there were six thistles per hectare on the property.

At the end of the third year, there were 18 thistles per hectare on the property.

Assume the number of thistles per hectare continues to follow a geometric pattern of growth.

At the end of the seventh year, the number of thistles per hectare is expected to be

A. `972`

B. `1458`

C. `2916`

D. `4374`

E. `8748`

Show Answers Only

`B`

Show Worked Solution

`text(GP where)\ \ \ a`	`=2, and`
`r`	`= t_2/t_1=6/2=3`

`=> B`