Answer:
Look below for the answers.
Step-by-step explanation:
What I'm going to do is one of these very carefully and leave the other 2 to you. They follow exactly the same pattern and once you see one of them done, you should be able to do any of them.
Six
<em><u>Step one</u></em>
Find the common difference.
Two values on the second line are always together so subtract the higher number one from the lower numbered on.
n = 3 and n = 4 on this question are side by side. That is you have f(4) and f(3)
ALWAYS subrract the lower numbered one from the higher numbered one
d = f(4) - f(3) = 60 - 64 = - 4
<em><u>Step Two</u></em>
Find the first term.
The first term is ALWAYS f(1). Always. There is never any kind of exception. f(1) in this case is 72
<em><u>Step Three</u></em>
Write the general explicit term
The general formula for the explicit Formula is ALWAYS
tn = first term + (n -1)*d
first term = 72
d = - 4 from above.
Explicit formula = 72 + (n - 1)*(-4) So the fifth term is
<em><u>Example</u></em>
t5 = 72 + (5 - 1)*(-4)
t5 = 72 + 4*(-4)
t5 =72 - 16
t5 = 56
<em><u>Step Four</u></em>
Write the Recursive formula
It is always in the same formal
tn = t_(n - 1) + (common difference)
tn = t_(n - 1) - 4 in this case
<em><u>Example</u></em>
Find t2
t2 = t1 - 4
t2 = 72 - 4
t2 = 68
If you do the other two, you can leave them in my PM and I will mark them.
