We appreciate your visit to Consider the following sequence 13 65 325 1625 8125 Write an explicit formula for the sequence. 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 :
Final answer:
The explicit formula for the sequence 13, 65, 325, 1625, 8125 is given by a_n = 13 × 5^{n-1}. This is determined by recognizing that each term in the sequence is five times the previous term.
Explanation:
When looking at the sequence 13, 65, 325, 1625, 8125 and trying to find an explicit formula, it is important to recognize the pattern. Each term is five times the previous term. This allows us to derive the formula for the nth term of the sequence, which is given by multiplying the first term by 5 raised to the power of n-1 (since the first term corresponds to n=1).
The explicit formula for this sequence is a_n = 13 × 5^{n-1}.
To illustrate this with an example, the second term when n=2 would be 13 × 5^{2-1} = 13 × 5 = 65, which matches the sequence provided.
Learn more about Explicit Formula for a Sequence here:
https://brainly.com/question/12965027
#SPJ11
Thanks for taking the time to read Consider the following sequence 13 65 325 1625 8125 Write an explicit formula for the sequence. 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
