a scaaaaaaary looking summmmmm

Рет қаралды 5,124

Dr Peyam

Күн бұрын

Пікірлер: 35

@mathmachine4266 Ай бұрын

Well, for all n>=4, n! is divisible by 4. So thats just i^1+i^1+i^2+i^6+97 = 2i-2+97 = 95+2i.

@SbF6H Ай бұрын

Indeed a very clever way of solving it.

@mnek742 Ай бұрын

Thumbnail shows slightly different problem, indexing from 1

@drpeyam Ай бұрын

Oh yeah!

@Tabu11211 Ай бұрын

Spooky 👻 where did the 1 go?

@k0pstl939 Ай бұрын

I guess remove or add 1 depending on if you want to exclude or include 0

@JJacobWikner Ай бұрын

@@k0pstl939 Being picky: Remove or add j rather than 1.

@k0pstl939 Ай бұрын

@@JJacobWikner i^0=1?

@tomkerruish2982 Ай бұрын

Replacing i with z yields a power series with a radius of convergence 1 that cannot be analytically extended anywhere.

@drpeyam Ай бұрын

Interesting!!

@tomkerruish2982 Ай бұрын

@drpeyam For more information, look up 'lacunary function' and 'natural boundary'. Briefly, discarding too many terms from a series makes it more divergent, not less.

@guidichris Ай бұрын

Did this in my head. Figured out quickly once past 3 it was all ones. Definitely looks scarier than it is.

@cheeseparis1 Ай бұрын

Such a cool thing for Halloween, I'm not scared at all!

@ThreePointOneFou Ай бұрын

Replace 100 with any integer k>=3 and the sum becomes 2i + (k-5). I almost messed this up because I forgot that 0!=1. 😁

@SystemsMedicine Ай бұрын

Rock on, dude…

@theproofessayist8441 Ай бұрын

What math fact or counter-example would you like to use to scare trick o treaters on Halloween as?

@ANINDYA-001 Ай бұрын

Happy Diwali Dr

@drpeyam Ай бұрын

Same to you

@SbF6H Ай бұрын

Bhoot Chaturdashi

@fahrenheit2101 Ай бұрын

95 + i? The last 97 are all 1s, the first is i, the 2nd and 3rd are both -1 Time to watch Edit: Ok i was right, but missed the 0 term because the thumbnail doesnt include it

@alipourzand6499 Ай бұрын

Great video. This week I saw a video asking what would be the reminder of the sum of squares of the first 100 primes when divided by 6. As scaaaaaary as this video and solved with a similar approach.