The number of seats in each row of a theater forms an arithmetic sequence. The fifth row contains 22 seats. The tenth row contai
ns 37 seats . How many seats are in the first row?
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Answer:
8
Step-by-step explanation:
 
                                
             
                    
              
              
                
                
Let  denote the number of seats in the
 denote the number of seats in the  -th row.
-th row.  is arithmetic, so
 is arithmetic, so

for some constant  .
.
We're told  and
 and  , so that
, so that



and so on up to

The pattern continues:


and so on up to

 
                                
             
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