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

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

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

Answer»

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:

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