Summing Arithmetic Progressions  
 
Q1) An arithmetic progression has a first term of  4  
  and a common difference of 5  
  Find the sum of the first  100 terms.  
 
  Sum =  
 
Q2) An arithmetic progression has a first term of  -7  
  and a common difference of 7  
  Find the sum of the first  200 terms.  
 
  Sum =  
 
Q3) An arithmetic progression has a first term of  17  
  and a common difference of -3  
  Find the sum of the first  78 terms.  
 
  Sum =  
 
Q4) An arithmetic progression has a first term of  -20  
  and a common difference of 12  
  Find the sum of the first  15 terms.  
 
  Sum =  
 
Q5) An arithmetic progression has a first term of  -5  
  and a common difference of  3  
  Find the sum of the terms between 100 and  200 inclusive.  
 
  Sum =  
 
Q6) An arithmetic progression has a first term of  7  
  and a common difference of  -5  
  Find the sum of the terms between 70 and  85 inclusive.  
 
  Sum =  
 
Q7) An arithmetic progression has a first term of  120  
  and a common difference of  15  
  Find the sum of the terms between 15 and  30 inclusive.  
 
  Sum =  
 
Q8) Term 9 of an Arithmetic Progression is 69  
  The sum of the first 100 terms of the same progression is 40100  
  Find the first term and the common difference.  
 
  a = d =  
 
Q9) Term 12 of an Arithmetic Progression is 41  
  The sum of the first 50 terms of the same progression is 5425  
  Find the first term and the common difference.  
 
  a = d =  
 
Q10) Term 25 of an Arithmetic Progression is -209  
  The sum of the first 120 terms of the same progression is -63420  
  Find the first term and the common difference.  
 
  a = d =  
 
Q11) An AP has a first term of  4 and a common difference of 12  
  How many terms must be added together so that the sum exceeds 3,600 ?
 
  n =  
 
Q12) An AP has a first term of  -230 and a common difference of 4  
  How many terms must be added together so that the sum exceeds 900 ?
 
  n =