PATTERNS, FUR1 2012 VCAA 8 MC

The graph above shows consecutive terms of a sequence.

The sequence could be

A. geometric with common ratio `r`, where `r< 0`

B. geometric with common ratio `r`, where `0 < r < 1`

C. geometric with common ratio `r`, where `r > 1`

D. arithmetic with common difference `d`, where `d< 0`

E. arithmetic with common difference `d`, where `d> 0`

Show Answers Only

`B`

Show Worked Solution

`text (As)\ \ n\ \ text(increases,) \ \ t_n→0`

♦ Mean mark 50%.

`:.\ text (Sequence is a geometric with a limiting sum)`

`text(i.e.)\ \ |\ r\ | < 1`

`text (Only one choice satisfies these conditions.)`

`rArr B`