[RESOLVED] Pattern

[Yunie]

Consider the pattern


2^3 - 1^3 = 3 x 1^2 + 3 x 1 +1
3^2 - 2^3 = 3 x 2^2 + 3 x 2 + 1
4^3 - 3^3 = 3 x 3^2 + 3 x 3 +1
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r^3 - s^3 = 331



(a) Write down the nth line in the pattern. (Ans: (n+1)^3 - n^3 = 3n^2 + 3n +1)


(b) Find the value of r and of s in the pattern. (Ans: r = 11, s = 10)



Hey guys, please help me on this question. I really don't know anything about doing this kind of pattern question. Please help. Thanks a lot!