Deric D. answered • 02/02/16

Tutor

New to Wyzant
Professional, Analytical and Creative Thinker Specializing in Math

Hi Jenny. Hope this helps.

Q1:

First you need to determine what n is.

To do this - set up the function in terms of n.

f(n) = 2f(n-1)+2

f(1) = 4 (according to the problem statement)

f(2) = 2f(1) + 2 = 2(4) + 2 = 10

f(3) = 2f(2) + 2 = 2(10) + 2 = 22

f(4) = 2f(3) + 2 = 2(22) + 2 = 46

Q2:

If I understand the question correctly, it asks for a range of commissions earned over the past 4 months.

If I understand the question correctly, it asks for a range of commissions earned over the past 4 months.

A range is defined as the area of variation between the upper and lower limits.

Therefore a range is between the lower limit and the upper limit.

Example:

Here is a set of ages: 5,12,6,18,24,45,32

Here is a set of ages: 5,12,6,18,24,45,32

The range of ages is 5-45 years of age.

Q3:

Let's test f(1) for each answer...

A. f(1) = -10 - 1 = -11 (not -8)

B. f(1) = -10 + 1

^{2}= -9 (not -8)C. f(1) = 1 - 9 = -8 (ah - ha!!! A candidate!)

D. f(1) = 2(1) - 10 = -8 (ah...another possible candidate)

So f(1) only works for C and D.

Try f(2) and f(3) to see which one is true for all values in the sequence.