We appreciate your visit to The explicit rule for a sequence is given Find the position number of the term 62 f n 2n 2 2. 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 :
Answer:
The explicit rule for the sequence is given by \( f(n) = (2n - 2) + 2 \). To find the position number (\( n \)) of the term 62, set \( f(n) \) equal to 62 and solve for \( n \):
\[ (2n - 2) + 2 = 62 \]
Combine like terms:
\[ 2n = 62 - 2 \]
\[ 2n = 60 \]
Divide by 2:
\[ n = 30 \]
So, the term 62 is at position number 30 in the sequence.
Thanks for taking the time to read The explicit rule for a sequence is given Find the position number of the term 62 f n 2n 2 2. 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
Final answer:
To find the position number of the term 62 in the sequence with the explicit rule f(n) = (2n - 2) + 2, solve the equation (2n - 2) + 2 = 62 for n. The solution is n = 30, so the position number of the term 62 is 30.
Explanation:
To find the position number of the term 62 in the sequence with the explicit rule f(n) = (2n - 2) + 2, we need to solve the equation for n. The explicit rule gives us the formula for the nth term, so we can set it equal to 62 and solve for n. Here's how:
(2n - 2) + 2 = 62
2n = 62 - 2
2n = 60
n = 30
Therefore, the position number of the term 62 is 30.
