PATTERNS, FUR1 2011 VCAA 2 MC

The first three terms of an arithmetic sequence are –3, –7, –11 . . .

An expression for the `n`th term of this sequence, `t_n`, is

A. `t_n = 1 - 4n`

B. `t_n = 1 - 8n`

C. `t_n = -3 - 4n`

D. `t_n = -3 + 4n`

E. `t_n = -7 + 4n`

Show Answers Only

`A`

Show Worked Solution

`text(Sequence is –3, –7, –11, …)`

`text(AP where)\ \ \ a`	`= –3, and`
`d`	`= –7 – (–3) = –4`

`=> A`