cool mat 2

Level pending

-1 , 0 , 1 , 16 , 27 , ???

Note: inspire by my best friend satvikgolechha

15 16 4 64

Jai Gupta by Jai Gupta , 22, India

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3 solutions

Parag Zode
Aug 26, 2014

You can also see that − 1 7 = − 1 -1^7=-1 0 6 = 0 0^6=0 1 5 = 1 1^5=1 2 4 = 16 2^4=16 3 3 = 27 3^3=27 then obvious next number would be 4 2 = 16 4^2=16 Here,powers are decreasing and the number is increasing i.e. in the form of ( a + 1 ) n − 1 (a+1)^{n-1}

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Satvik Golechha
Aug 1, 2014

The general n t h n^{th} term is ( n − 2 ) 8 − n \large(n-2)^{8-n} .. BTW How is that inspired by me? And also you may like to correct my name's spelling..

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Jai can you tell me that how it is inspired by satvik ?

Shubhendra Singh - 6 years, 10 months ago

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Ya sure man The first time when a saw this problem satvik has given it to me But I give the answer simuntaneously as I know the method which is used.

Jai Gupta - 6 years, 10 months ago

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@Jai Gupta You may replace 'satvik golecha' with [ S a t v i k G o l e c h h a ] ( h t t p s : / / b r i l l i a n t . o r g / p r o f i l e / s a t v i k − r z b h 2 d / f e e d / ) \color{#3D99F6}{[Satvik Golechha](https://brilliant.org/profile/satvik-rzbh2d/feed/)} ) without any spaces.. Satvik Golechha

Satvik Golechha - 6 years, 10 months ago
Jai Gupta
Aug 1, 2014

-1^7=-1 0^6=0 1^5=1 2^4=16 3^3=27 4^2=16

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