Series: Arithmetic Progressions

Worked Solution

The series is arithmetic so the difference between neighbouring terms is constant:

1

–

2

=

–1

and

0

–

1

=

–1

For each term after the 1st we add on the common difference,

–1

so the 17th term will be

–1

×

(17 – 1) =

–16

added on to the first term

2

The 17th term is therefore

–14