SOLUTION: Write a recursive rule that describes the pattern in the total number of dots. x|1|2|3|4|5|6| ___________ ____ y|1|3|6|10|15|21

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a recursive rule that describes the pattern in the total number of dots. x|1|2|3|4|5|6| ___________ ____ y|1|3|6|10|15|21      Log On


   

Question 1179386: Write a recursive rule that describes the pattern in the total number of dots.
x|1|2|3|4|5|6|
________________
y|1|3|6|10|15|21
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

    y%5B1%5D = 1;   y%5Bn%5D - y%5Bn-1%5D = n,   n = 2, 3, 4, . . . ,


or, which is the same,


    y%5B1%5D = 1;   y%5Bn%5D = y%5Bn-1%5D + n,   n = 2, 3, 4, . . . 


It is the recursive formula the problem requests for.

Solved, answered and explained.