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

8, 11, 14, 17

Step-by-step 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

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.