For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 100 of this series?
Choose the correct option:
A) 11,990
B) 12,720
C) 13,260
D) 14,580
E) 15,450
15,450ach term of the series has the form (n+n+1+n+2) = 3n+3   Since the series goes from 1 to 100, the sum of the series is:   3(1+2+...+100) + 100(3) ( + +1+ +2)= 
<gadget id="calculator">( + +1+ +2)</gadget>
<output>3</output>
3n+3   Since the series goes from 1 to 100, the sum of the series is:   3(1+2+...+100) + 100(3)=   3(100)(101)/2 + 100(3) =   150*101 + 300 = 15,450   The answer is 15,450.
<result>E</result>
For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 100 of this series?