JoCateagrealissa
JoCateagrealissa JoCateagrealissa
  • 07-05-2016
  • Mathematics
contestada

How many multiples of 9 are there between 100 and 2,000?

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sasaa777
sasaa777 sasaa777
  • 07-05-2016
first of all, find the first number more than 100 that can divided by 9, and it's 108 (we'll call it as 'a') then, find the number less than 2000 that can divided by 9, it's 1.998 (we'll call it as 'Un')

Un = a + (n-1).b
1998 = 108 + (n-1).9
1998 = 108 + 9n -9
1899 = 9n
211 = n

and the total is
Sn = n/2 (a+un)
s211 = 211/2 (108+1998)
= 222.183

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