SOLUTION: Find the sum of 58+59+60+61+...+203. . How do we solve this equation? Please help me. Thank you.

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Question 830239: Find the sum of 58+59+60+61+...+203. . How do we solve this equation? Please help me. Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can make use of the formula which
says: the sum of the numbers 1 through n
equals +%28+n%2A%28n%2B1%29%29+%2F+2+
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You can test this formula:
+1+%2B+2+%2B+3+%2B+4+%2B+5+%2B+6+=+21+
+%28+6%2A7+%29+%2F+2+=+21+
OK
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First find the sum from 1 to +203+
+%28+203%2A204+%29+%2F+2+=+41412%2F2+
+41412%2F2=+20706+
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Now find the sum from 1 to 57
+%28+57%2A58%29%2F2+=+3306%2F2+
+3306%2F2+=+1653+
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58 + 59 + 60 + 61 + . . . 203 = +20706+-+1653+
+20706+-+1653+=+19053+ answer