Question

A sequence can be generated by using an=12an−1, where n is a whole number greater than or equal to 1.

Given a9=12, what is a10?

5
6
13
24

Answer 1

8, 11, 14, 17

Explanation:

For example,

Given: an=2an−1−xan=2an−1−x

a5=99a5=99

a3=27a3=27

a5=2a4−x=2(2a3−x)−x=4a3−3x=99a5=2a4−x=2(2a3−x)−x=4a3−3x=99

4(27)−3x=994(27)−3x=993x=108−99=93x=108−99=9

x=3x=3