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If the sum of 9 consecutive odd integers is 1935, what is the sum of the next 9 consecutive odd integers?

 Jan 18, 2019
 #1
avatar+96201 
+1

(n - 10) + (n - 8) +( n - 6) + (n - 4) +( n - 2 ) +( n ) + (n + 2) +( n + 4) + (n + 6) =  1935

 

9n - 18 = 1935

 

9n = 1953

 

n = 217

 

The last odd number in the first series = 217 + 6 = 223

 

So....the next 9 odds are

 

The first term in the next series  = 225

And the last term = 225 + 8(2) =  241

 

And the sum of this series =  [ 225 + 241] * (9/20 =    2097

 

 

cool cool cool

 Jan 18, 2019

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