PATTERNS, FUR1 2010 VCAA 2 MC

The first three terms of a geometric sequence are

`0.125, 0.25, 0.5`

The fourth term in this sequence would be

A. `0.625`

B. `0.75`

C. `0.875`

D. `1`

E. `1.25`

Show Answers Only

`D`

Show Worked Solution

`text(GP sequence is 0.125, 0.25, 0.5)`

`a`	`=0.125`
`r`	`=t_(2)/t_(1)=0.25/0.125=2`
`T_4`	`=ar^3`
	`=0.125 xx 2^3`
	`=1`

`=> D`