PATTERNS, FUR1 2014 VCAA 8 MC

The first term of a geometric sequence is `a`, where `a < 0`.
The common ratio of this sequence, `r`, is such that `r < –1`.
Which one of the following graphs best shows the first 10 terms of this sequence?

Show Answers Only

`B`

Show Worked Solution

`text(By elimination)`

♦ Mean mark 40%.

`a < 0. text(Cannot be C.)`

`r < -1. text(Successive terms change sign and)`

`text(increase exponentially.)`

`text(Cannot be A, D, or E.)`

`=> B`