Answer:
x g(x + 2)-1 h(x)
-2 g(-2+2)-1 -1
-1 g(-1+2)-1 0
0 g(0+2)-1 1
1 g(1+2)-1 2
2 g(2+2)-1 3
Part A: 3
Part B: -1
Step-by-step explanation:
When you have questions like these all you have to do is plug in and solve.
For example I will do h(2) & h(-2) for reference.
<em><u>h(2):</u></em>
<em><u>h(-2):</u></em>
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:
The result is -54, not -6... so it's not the right result.
Let's test answer B then:
Right! Let's verify with n=5 to get 162:
Confirmed, answer is B. an = 2 • (-3)^(n - 1)