Interpret the recursive rule and the explicit rule using function notation:
a) Recursive Rule f(n)=f(n-1)*r, f(1)=?
b) Explicit Rule f(n)=f(1)*r^n-1
Example: Identify the first term and the common ratio of each geometric sequence:
c) f(n)=f(n-1)*5, f(1)=-3
d) f(n)= -2(1/3)^n-1
Questions A and B are their own part. And C and D are their own part as well. I just put the two questions together. So question A and B are for the title, while C and D are for the question given above it...
I have copied (a portion of) the subject line, which you seem to state is actually the instructions for the first two "questions" (listed as "a" and "b", but which you refer to as "A" and "B"), into your first post, and have positioned the text as being the instructions. Have I edited your first post correctly?
When the "instructions" for "a" (or "A") say to "intepret the recursive rule...using function notation", why does the "question" ask only for the value of "f(1)", rather than for "f(n)"? Or is the "f(1)=?" portion a second part to the first question?
For "b" (or "B"), is the "minus one" part of the power on "r", or does it come after?
For "c" (or "C"), you are given the first term for the geometric sequence. You know how to get from one term to the next in any geometric sequence, given the previous term and the common ratio. You are given a rule for getting from one term to the next term, given the previous term. What then must be the common ratio?
For "d" (or "D"), is the "minus one" part of the power with the "n", or does it come after?
For all parts, please reply with your thoughts and efforts so far, as this will likely help us greatly in figuring out what is going on here. Thank you!