Write the first 6 terms of each pattern. a) Start at 100. Subtract 6 each time. b) Start at 10. Alternately, add 5 then subtract 2.

 The first 6 terms startng with the first term already given for each question are a) 100, 96. 90, 84, 78,72    b)    13, 16, 19,22,25, respectively

Step-by-step explanation:

A) first 6 terms

a) Start at 100. Subtract 6 each time

First term = 100

2nd term = 100-6= 96

3rd term = 96-6=90

4th term= 90- 6= 84

5th term = 84-6= 78

6th term 78-6= 72

100, 96. 90, 84, 78,72.

b) Start at 10. Alternately, add 5 then subtract 2

First term = 10

2nd term = 10+5 -2= 13

3rd term = 13+5-2=16

4th term= 16+5-2=19

5th term = 22+5-2= 25

10, 13, 16, 19,22,25

Part A
Chorus:
Expontential growth = b*a^x 
b = 15
a = 1.12              (a= r+1), r = 12%

Which gives a function of f(x) = 15*1.12^x 

Band
Linear growth = ax+b
a = 2
b = 30

Which gives a function of g(x)=2x+30

Part B:
f(9) = 15*1.12^9 = 41.59
g(9) = 2*9+30 = 48

Part C:
This is probably problem solving, where you're allowed to use calculators and other softwares.

Therefore you can use different softwares, and make f(x) = g(x).
I did this, and got it to 10.95427141

[email protected]