Homework Help: algebra

Posted by sam on Wednesday, May 23, 2012 at 11:39pm.

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.

algebra - Steve, Thursday, May 24, 2012 at 4:04pm
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.

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