PATTERNS, FUR1 2006 VCAA 2 MC

The first three terms of a geometric sequence are `6, x, 54.`

A possible value of `x` is

A. `9`

B. `15`

C. `18`

D. `24`

E. `30`

Show Answers Only

`C`

Show Worked Solution

`text(S)text(ince the sequence is geometric,)`

`r`	`=x/6=54/x`
`x^2`	`=54 xx 6`
	`=324`
`:.x`	`=18`

`rArr C`