SOLUTION: What is the sum of all multiples of 6 that are strictly between 3128 and 51804?

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Question 168611This question is from textbook
: What is the sum of all multiples of 6 that are strictly between 3128 and 51804? This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
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Note: sum 1 to n = n(n+1)/2

First term that is a multiple of 6: 3132

Last term that is a multiple of 6: 51804


3132+3138+3144+...+51798+51804


6(522+527+533+...+8628+8634)


6(sum 1 to 8634 - sum 1 to 521)


6(8634(8635)/2 - 521(522)/2)


6(37277295 - 135981)


6(37141314)


222847884



So the sum of all multiples of 6 that are strictly between 3128 and 51804 is 222,847,884