SOLUTION: Fill in the next three blanks of this pattern and find the general term -1,0,(3/5),(8/10),(15/17),blank,blank,blank. Any help would be appreciated. Thanks

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Fill in the next three blanks of this pattern and find the general term -1,0,(3/5),(8/10),(15/17),blank,blank,blank. Any help would be appreciated. Thanks      Log On

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Question 131991: Fill in the next three blanks of this pattern and find the general term

-1,0,(3/5),(8/10),(15/17),blank,blank,blank.

Any help would be appreciated. Thanks
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The pattern for the numerator is to take the square of a number and subtract 1. For the denominator, take the square of a number and add one.

The pattern begins with the square of 0. The next numbers would be fractions, using the square of 5, the square of 6, and the square of 7.

+%285%5E2-1%29%2F%285%5E2%2B1%29
24%2F26=12%2F13

+%286%5E2-1%29%2F%286%5E2%2B1%29
35%2F37

+%287%5E2-1%29%2F%287%5E2%2B1%29
48%2F50=24%2F25

R^2