Question 969329:  A theater has 38 rows with 23 seats in the first row,26 in the second row,29 in the third row and so on.  How many seats are in the theater? 
 Answer by josmiceli(19441)      (Show Source): 
You can  put this solution on YOUR website! The sequence is: 
23, 26, 29, 32, . . . for 38 rows 
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This is     plus the sequence: 
3, 6, 9, 12, . . .  for 38 rows 
This is: 
   where   is the row number , and 
summed over the 38 rows 
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This is   times 
  row numbers summed over the 38 rows 
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The formula for the summation is: 
  
  
  
  
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There are 2,983 seats in the theater 
hope I got it 
 
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