Solution to Problem #3 


Use Property 4 to separate the sequence into 2 groups. 


Use Property 2 to put the constant 3 in the second term in front of the sigma notation. 


use Summation Rule 2 








 use Summation Rule 1 for i in the second term of the expression. 




49,500 is not the answer because we are looking for the sum of the series between 25 and 54 not 1 and 54. 
Must find the sum of the series between 1 and 24 and subtract that number from the sum of the series between 1 and 54 which is 49,500. 







Subtract 4,000 from 49,500 to find the sum of the series for 

The sum of the series is 45,500. 
