A few days ago
Anonymous

Tricky Maths Question?

Alright my teacher says he can answer this question in less than 5 minutes, the question is

1+2+3+4+5+6+7+8+9+10..etc etc etc up to 10,000

whats the secret to this ?

Top 6 Answers
A few days ago
Anonymous

Favorite Answer

The secret is that the sum of the first and the last terms equals the sum of the second and the next to last term etc.

There are

10,000/2 = 5,000

of such pairs. Each pair adds up to

(10,000 + 1)=10,001

The answer is

5,000 (10,000 + 1) = 50,005,000

This series represents the sum of an arithmetic progression with the first term 1 and common difference. The general formula for the sum of n consecutive natural numbers is:

S(n) = n(n+1)/2

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A few days ago
desigirl64
i think he goes:

1+2+3+4+5+6+7+8+9+10+1+2+3+4+5+6+7+8+9+10

and so on.

hes probably just adding by tens

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A few days ago
So…
Yes there is a actually a formula for this which is S=n(a + an)/2.

S means the sum. n is the number of terms (which in this case is 10,000). a is the first term, which is 1. an the last term which is 10,000. So if you plug in all the info it will give you something like this:

S=10,000(1+10,000)/2= 50,005,000 if my math is correct.

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A few days ago
david d
x(x+1)divided by 2 is your answer. X is the last number in your series: 10,000 in your case
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A few days ago
jadespider9643
take the first number in the sequence and add it to the last one

1+10,000=10,001

now take the 2nd number, and the 2nd to last number…

2+9999=10,001

see a pattern? yup, there’s a pattern.

10,001 * 5,000 = 50,005,000

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A few days ago
David G
group in sets

10000 +(1+9999)+(2+9998)… etc

how many groups that equal 10000

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