Adding Consecutive Numbers Math Riddle | Algebra Puzzle Math Hack #shorts #math #algebra #maths

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Arithmetic progression
Sn = n/2(a +an)

arpitgupta
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I figured it out in a few seconds. I‘m proud of myself

mildlyobesegoat
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In the 18th century, when the German mathematician Carl Friedrich Gauss was only 9 years old, his teacher in school wanted to keep them occupied for a while so he told the class to add up all numbers from 1 to 100 as an excercise. Gauss solved it basically this way in a minute. He found the formula n*(n+1)/2 to solve these kind of problems in general. The formula is now named after him in Germany.
Edit: Math is hard

NeverEverClever
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Brother you can use Arithmetic progression 's Sn = n/2(a+l) formula
Where,
a = first term
l = last term
n = no.of terms
Sn = Sum of nth terms 😊

oojkqwi
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Dude for series addition there is formula. N(N+1)/2

sarkram
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Was trying to figure out a way more complicated method that involved finding pairs that add up to 200 and taking adding n/2 (200/2) to it, i think this method could still work but yours is easier to wrap the mind around. Good example!

sethstuff
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I just used the arithmetic sequence formula and that's

outsideconfidence
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🇮🇳 Indian JEE aspirants be like - Answered in a millisecond

dr.carbon
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I was just looking for the median, not sure how it’d go, but if it’s 5, the median number is 3, not 2.5. (Not sure if the terminology works)

200 times 100.5 = B

For 199, its by 100x, for 201, it’s 101x.

theoverseer
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I’m at uni right now but these videos make me wanna do math voluntarily

jfkdn
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Simple Arithmetic Progression based question
Sum of n terms is given by:
S(n)=n/2*(a+l).
where a is the first term and l is the last term
and n is the number of terms

itsmevanquisher
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Or you can just use Arithmetic Progression formula

pranay
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You can also do (n × (n+1))/2
Where n is the biggest number in the sequence

nycuba
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Gauss be like: MAN! Just use the formula and have 200x201 all divided by 2, simplifiy the 2 with 200 and get 20100

Looop-qvoq
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Just use this formula: n/2[ 2a+(n-1)d] where a is the first no and d is the common difference

senseigaming
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I had this formula in grade 6 but how you put this makes it so easy to understand

jackal
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With even less math, ignore the 200 initially.

1+199 gives an even 200, as does 2+198… and so on, all the way to the “center” number of 100.

All the possible numbers end on a clean hundred, so the answer MUST end in “00”. B is the only multiple choice answer that ends in “00”.

TheHeavenlyRice
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Арифметическая прогрессия. a1=1 b=1 S= (a1+an)×n/2 n=200

narutoyzumake
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The legend says that Gauss’ teacher gave him this exercice when he was like 6 after he finished everything
And he found the formula because he was lazy and didn’t want to calculate every addition

qvkoqkr
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THESE 1-MINUTE VIDEOS HELP MORE THAN MY 1HR OF ACTUAL MATH CLASS LOOOLLLL

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