Asked by sam
Renee belongs to a bowling club. She scores 50, 52, 55, and 59 on her first four games. She hopes to continue improving according to this pattern.
Part A: What are the next four terms in Renee’s sequence?
Part B: Write an recursive function rule for the sequence?
Part C: What is the domain and range of your function rule?
Part D: Do you think Renee can keep up this pattern? Explain.
Part A: What are the next four terms in Renee’s sequence?
Part B: Write an recursive function rule for the sequence?
Part C: What is the domain and range of your function rule?
Part D: Do you think Renee can keep up this pattern? Explain.
Answers
Answered by
Steve
terms differ by 2,3,4,...
2+3+4+...+n = n(n+1)/2-1
so, the sequence is
Tn = 49 + n(n+1)/2
50,52,55,59,64,70,77,85,...
T1 = 50
Tn = T(n-1) + n
T21 = 280
T22 = 302
So, she can't keep it up past 21 games.
2+3+4+...+n = n(n+1)/2-1
so, the sequence is
Tn = 49 + n(n+1)/2
50,52,55,59,64,70,77,85,...
T1 = 50
Tn = T(n-1) + n
T21 = 280
T22 = 302
So, she can't keep it up past 21 games.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.