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 80 of this series?
Choose the correct choice from the following.
A) 8990
B) 9380
C) 9630
D) 9960
E) 10,240
Each term of the series has the form (n+n+1+n+2) = 3n+3   Since the series goes from 1 to 80, the sum of the series is:   3(1+2+...+80) + 80(3) ( + +1+ +2)= 
<gadget id="calculator">( + +1+ +2)</gadget>
<output>3</output>
3n+3   Since the series goes from 1 to 80, the sum of the series is:   3(1+2+...+80) + 80(3)=   3(80)(81)/2 + 80(3) =   120*81 + 240= 
<gadget id="calculator">120*81 + 240</gadget>
<output>9_960</output>
9960   The answer is 9960.
<result>D</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 80 of this series?