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mestny [16]
3 years ago
7

How do you solve this sequence using inductive reasoning?

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0
1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7 of 360
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What is the sum of all possible multiples of 5 less than 500
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We need to find 5 + 10 + 15 + ... + 485 + 490 + 495. There are 99 numbers that are being added. To add this we can do 5 + 495, 10 + 490, 15 + 485 and so on. These pairs have a sum of 500 and since there are 98 / 2 = 49 pairs their sum is 500 * 49 = 24500. Since there is an odd number of numbers that are being added, there is one number that does not belong to a pair. That number is the 50th number in the list which is 50 * 5 = 250. Therefore the answer is 24500 + 250 = 24750.

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