What is the sum of the integers 45 through 175 inclusive? Choose the correct choice from the following options.
A) 12,295
B) 13,000
C) 14,300
D) 14,410
E) 28,820
sum of n consecutive positive integers=n(n+1)/2..   in one case n=44 and other 175... subtract the sum to get the answer   sum of first 175 +ive numbers=175*176/2=15400..   sum of first 45 +i've numbers=45*44/2=990..   answer=15400-990= 
<gadget id="calculator">15400-990</gadget>
<output>14_410</output>
14410   ANSWER:14,410
<result>D</result>
What is the sum of the integers 45 through 175 inclusive?