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4 votes
What is the arithmetic mean of the first million odd numbers

User Dahui
by
6.9k points

1 Answer

5 votes
it's 1,000,000:

the sum is 1 + 3 + 5 + ... 1999999

= 1 + 2 + ... + 2000000 - 2*(1 + ... + 1000000)

= 2000000*2000001/2 - 2*(1000000*1000001 / 2)

= 1000000*(2000001 - 1000001) = 1000000000000 (one million million)

and dividing this by one million to get the average,

you get one million
User Adriano Godoy
by
6.3k points
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