four-in-a-row !

Number Theory Level 2

What is the result?

Can you find the pattern? +_+


The answer is 4062239.

Arie Nugroho by Arie Nugroho , 41, Indonesia

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3 solutions

Let n-3/2=2014, 2014(2015)(2016)(2017)+1=..={(4n^2-5)/4}^2

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Sunil Pradhan
Oct 22, 2014

[a(a + 1)(a + 2)(a + 3) + 1]^1/2 = a(a + 3) + 1

[2014(2014 + 1)(2014 + 2)(2014 + 3) + 1]^1/2 = 2014(2014 + 3) + 1

= 4062239

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Mohit Kuri
Oct 13, 2014

Thanks for question but we all have calculators . Learn from this error for future.

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Here in Brilliant, we don't rely on calculators. Use the heads first, not brute force. :)

Joeie Christian Santana - 6 years, 8 months ago

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I have just advised him to make questions which can't be solved by calculator directly. Thanks for comment you must post your solution then.😃

Mohit Kuri - 6 years, 8 months ago

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