Question

a cubic polynomial p(x) is such that p(1)=1,p(2)=2,p(3)=3 and p(4)=6,then the value of p(6) is :

Answer 1

p(6) = 24

Because,

p(1) = 1, p(2) = 1+1 = 2,

p(2) = 2, p(3) = 1+2 = 3,

p(3) = 3, p(4) = 1+2+3 = 6,

p(4) = 6, p(5) = 1+2+3+6 = 12,

p(5) = 12, p(6) = 1+2+3+6+12 = 24.

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