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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