To write each geometric sequence as an exponential function, we need to identify the pattern of change between the terms and express it in the form of [tex]f(n) = a \cdot r^{n-1}[/tex], where [tex]a[/tex] is the first term and [tex]r[/tex] is the common ratio.
Let's evaluate each case:
Sequence: [tex]9, 5, 2n-1[/tex]
First, let's determine the first term [tex]a[/tex]. In this case, the first term is given as 9.
Next, we need to identify the common ratio [tex]r[/tex]. Since the sequence only lists initial terms as [tex]9, 5[/tex], it seems we lack complete information about [tex]2n - 1[/tex]. To write a function, more information is needed.
Sequence: [tex]-3, -3, -1[/tex]
Here, the terms seem to be incorrect or incomplete, so let’s construct based on what typical geometric sequences offer. With an appropriate sequence:
- Let's consider a potential pattern cause from [tex]-3[/tex]. Common differences are not apparent though. Unable to identify exact ubiquitous sequence here with numbers provided.
Given the defined structure, expressing the problem with regards to graphing could offer insight:
Assuming proper sequence continuation, [tex]f(n)[/tex] relies on further given traits typically involving [tex]a[/tex] and correctly solved common [tex]r[/tex] which is beyond provided values here.
In general, sequences need further digits or patterns effectively beyond provided examples. Review textual items for any overlooked traits showing more sequences. Each sequence need appropriate numbers to confirm the sequence; elements in this item return confusing initial assumptions clarified by seeing patterns.
To graph functional values [tex]1 \leq n \leq 10[/tex], formal calculations after deriving values must provide function output or clarification from—[tex]a[/tex]—missing or suspect. The graph of such expressions spans multiple layers when details integrate cleanly.
Without required data receiving appropriate answers can be challenged; informations like [tex]-12000[/tex] typically point though full math steps remain void when presented incomplete figures. Acquiring accurate parts leads easily ready depiction.