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The sum of all multiples of 3 below 500 is the sum of 3 + 6 + ... + 498 = 41583
The sum of all multiples of 5 below 500 is the sum of 5 + 10 + ... + 495 = 24750
Depending upon the interpretation of "of 3 and 5", the answer is one of:
- The sum of all multiples of both 3 and 5 below 500 is the sum of 15 + 30 + ... + 495 = 8415
- The sum of all multiples of 3 below 500 and all multiples of 5 below 500 is 41583 + 24750 = 66333
- Since the multiples of both 3 and 5 (that is 15, 30, ...) have been counted twice - once in the multiples of 3 and once in the multiples of 5 - the sum of all multiples of 3 or 5 or both below 500 is 41583 + 24750 - 8415 = 57918
I have emphasised the word below with regard to 500 since 500 is a multiple of 5, but 500 is not below (less than) itself, that is the multiples are of the numbers 1, 2, 3, ..., 499. If the question was intended to mean less than or equal to 500, add an extra 500 to the multiples of 5 above, making the sum of the multiples of 5 be 25250 and the final sums (1) 8415, (2) 66833, (3) 58418.
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What is the sum of all the odd numbers up to 500?
The sum of the first 500 odd numbers is 250,000.
Find the sum of all the multiples of 3 or 5 below 1000?
Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.
What is the sum of all 2-digit multiples of 5?
-3
What are all the multiples of 7 between 50 and 80?
56, 63, 70 and 77
What is the sum of all the multiples of 3 between 100 and 200?
this isn't a place to do your math homework.
The sum of all the multiples of 3 or 5 below 1000?
The multiple of 3 nearest to and below 1000 is 999. 999/3 = 333 The sum of all the multiples is 3 x 333 x 334/2 = 166833 The multiple of 5 nearest to and below 1000 is 995. 995/5 = 199 The sum of all the multiples is 5 x 199 x 200/2 = 99500
What is the sum of the multiples of 9?
There are infinitely many multiples of 9 and it is not possible to add them all.
What is the sum of the first 500 multiples of 3?
Oh, what a happy little question! To find the sum of the first 500 multiples of 3, we can use the formula for the sum of an arithmetic series: (n/2) * (first term + last term). In this case, the first term is 3 and the last term is 3 * 500. Plugging these values in, we get (500/2) * (3 + 1500) = 250 * 1503 = 375,750.
What is the sum of all the multiples of seventeen?
They are infinitely many and they form an increasing sequence the sum is infinite.
What is the sum of all the odd numbers up to 500?
The sum of the first 500 odd numbers is 250,000.
What is the Sum of the positive non-multiples of three that are less than 1000?
That would be equal to the sum of all positive integers less than 1000 minus the sum of all positive multiples of three that are less than 1000. That would be equal to: (1000 + 1) * (1000 / 2) - 3 * (333 + 1) * (333 / 2) = 1001 * 500 - 1000 * 166.5 = 500500 - 166500 = 334000
Find the sum of all the multiples of 3 or 5 below 1000?
Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.Well, you could add them one by one, or write a small computer program to do that, but here is a shortcut:Use the formula for an arithmetic series, to find the sum of all the multiples of 3 (3, 6, ... 999).Similarly for all the multiples of 5 (5, 10, ... 995).Add it all up.Multiples of 15 will be counted twice in his calculation, so you'll have to calculate the sum of all the multiples of 15, and subtract it from the above.
Is 95 the sum of integers between 1 and 500?
No. The sum of all integers between 1 and 500 is 124,749.
What is the sum of all 2-digit multiples of 5?
-3
The sum of three consecutive multiples of 6 is 666find the multiples?
The sum of three consecutive multiples of 6 is 666, the multiples are 216, 222 and 228.
What number is a multiple of 6 and 12 and has the sum of 9 numbers?
All multiples of 12 are also multiples of 6 and they all can be written as the sum of nine numbers.
What is the sum of the first 10 multiples of 3?
The sum of the first 10 multiples of 3 is 165.
