We appreciate your visit to Write an exponential function to describe the given sequence of numbers 5 25 125 625 3125. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The exponential function describing the sequence 5, 25, 125, 625, 3125, ... is f(n) = 5^n, where n represents the position of the term in the sequence.
Exponential functions are used to describe a sequence of numbers where each term is multiplied by a common factor to get the next term. In this case, the sequence is 5, 25, 125, 625, 3125, ... To write an exponential function for this sequence, we first identify the common factor between the terms.
Each term is 5 times the previous term, which indicates an exponential relationship with 5 as the base. Now we can write the exponential function as:
f(n) = 5^n
where n is the position of the term in the sequence, starting with n=1 for the first term (5).
For example:
- The 1st term is 5^(1) = 5
- The 2nd term is 5^(2) = 25
- The 3rd term is 5^(3) = 125
- And so on.
This function correctly represents the sequence and can be used to find any term in the sequence.
Thanks for taking the time to read Write an exponential function to describe the given sequence of numbers 5 25 125 625 3125. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
