We appreciate your visit to Complete the recursive rule and the explicit rule for the arithmetic sequence 84 94 104 114 124 The recursive rule is f 1 84 f. 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 :
Given:
The arithmetic sequence is
84, 94, 104, 114, 124,....
To find:
The recursive rule and the explicit rule for the arithmetic sequence.
Solution:
We have, the arithmetic sequence
84, 94, 104, 114, 124,....
Here,
First term : a=84
Common difference : d=94-84=10
The recursive rule for an arithmetic sequence is
[tex]f(n)=f(n-1)+d[/tex]
So, the recursive rule for the given arithmetic sequence is
[tex]f(n)=f(n-1)+10[/tex]
where, f(1)=84 and n ≥ 2.
Explicit rule for the arithmetic sequence is
[tex]f(n)=a+(n-1)d[/tex]
So, the explicit rule for the given arithmetic sequence is
[tex]f(n)=84+(n-1)10[/tex]
where, n ≥ 1.
Therefore, the recursive and explicit rules are [tex]f(n)=f(n-1)+10[/tex] and [tex]f(n)=84+(n-1)10[/tex] respectively.
Thanks for taking the time to read Complete the recursive rule and the explicit rule for the arithmetic sequence 84 94 104 114 124 The recursive rule is f 1 84 f. 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
