Question

The value of {(1/3)-3-(1/2)3} =(1/4) 3 is None of these 27/16 64/19 19/64​

Answer 1

Answer:

Step-by-step explanation:

00n3=1+8+27+⋯+1,000,000=1002⋅10124=25,502,500  

This involves a special case of Faulhaber’s formula, by which

∑k=1nk3=n2(n+1)24

Faulhaber’s formula, while powerful and useful, involves some advanced mathematics such as binomial coefficients and Bernoulli numbers:

∑k=1nka=1a+1∑j=0a(−1)j(a+1j)Bjna+1−j

Don’t believe that? OK, let’s try a quick one-liner using Python list comprehension: