SOLUTION: Find the sum. 5+10+15+...+430 a.) 18,275 b.) 18,705 c.) 37845/2 d.) 18,490

Question 1059609: Find the sum. 5+10+15+...+430
a.) 18,275
b.) 18,705
c.) 37845/2
d.) 18,490
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
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Solved in
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https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1059610.html

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

5+10+15+...+430 Factor out 5 5(1+2+3+...+86) Now we know there are 86 numbers being added up. Let's find the sum of 1+2+3+...+86 Call it S: S = 1+ 2 +3+ 4+...+82+83+84+85+86 S = 86+85+84+83+...+ 5+ 4+ 3+ 2+ 1 <-- turn them backwards ----------------------------------- 2S = 87+87+87+87+...+87+87+87+87+87 <-- adding the two equations S = 86*87 S = 7482 S = 3741 So 5+10+15+...+430 = 5(1+2+3+...+86) = 5(3741) = 18705 Edwin

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