Tricky Maths Question?
1+2+3+4+5+6+7+8+9+10..etc etc etc up to 10,000
whats the secret to this ?
Favorite Answer
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
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
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.
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
10000 +(1+9999)+(2+9998)… etc
how many groups that equal 10000
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