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The answer is 2,500.
This is an interesting question as it turns out there are a few approaches we could take to solve this. After much thought I have come up with the following, which, if you are interested, you might want to consider:
The most boring way would be to sit there with a calculator and add them all up. Let's try something else.
You could realise that if there are 50 odd numbers we can split them in to 25 pairs which, here, each add up to 100 (e.g. 99 & 1, 97 & 3 etc... all the way to 51 & 49). Therefore the sum must be 25 * 100 = 2,500.
Another way, for this particular question, would be to realise that the sum of x number of consecutive odd digits (only when starting at 1 of course) is equal to x2. So where x = 50 the sum of the numbers is 502 = 2,500.
But why should that be? It is because the average value of the odd numbers will equal the first odd number plus the last odd number divided by 2. So for the first 50 odd numbers this would be 1 + 99 / 2 = 100 / 2 =50. So, in this scenario, the average will always equal the number of odd numbers! So the total must be this number squared.
Finally, we could try to come up with a formula to solve this, but I do not want to write too much. If you are interested in a formula then please message my board.
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How do you find the sum of the first 50 odd numbers quickly?
2500
What is the average of first 10 odd whole numbers?
The average is 10. You will find that the average when adding together the first n odd numbers is always equal to n.
What are the first 20 odd numbers?
The first 20 odd numbers are: 13579111315171921232527293133353739.
Which are the first 85 odd numbers?
The first 85 odd numbers are: 1 3579111315171921232527293133353739414345474951535557596163656769717375777981838587899193959799101103105107109111113115117119121123125127129131133135137139141143145147149151153155157159161163165167169.
What is the sum of the first 8000 odd numbers?
The sum of the first 8,000 odd numbers 64,000,000.
How do you find the sum of the first 50 odd numbers quickly?
2500
What is the average of first 10 odd whole numbers?
The average is 10. You will find that the average when adding together the first n odd numbers is always equal to n.
What are the first 20 odd numbers?
The first 20 odd numbers are: 13579111315171921232527293133353739.
Sum first 99 odd numbers?
9801 * The sum of the first two odd numbers (1+3) is 4, or 22 * The sum of the first three odd numbers (1+3+5) is 9, or 32 * The sum of the first four odd numbers (1+3+5+7) is 16, or 42 * ...and so on So the sum of the first 99 odd numbers, using the pattern above, would be 992 or 9801.
What are the first 100 odd numbers?
The first 100 odd whole numbers are: 13579111315171921232527293133353739414345474951535557596163656769717375777981838587899193959799101103105107109111113115117119121123125127129131133135137139141143145147149151153155157159161163165167169171173175177179181183185187189191193195197199.
Which are the first 85 odd numbers?
The first 85 odd numbers are: 1 3579111315171921232527293133353739414345474951535557596163656769717375777981838587899193959799101103105107109111113115117119121123125127129131133135137139141143145147149151153155157159161163165167169.
How do you find the greatest common factor of two odd numbers?
An easy way to find the greatest commmon factor of two odd numbers would be to try dividing them by eachother.
What is the sum of the first fifteen odd numbers?
The sum of the first 15 odd numbers is 225.
What is the sum of first 300 odd numbers?
The sum of the first 300 odd numbers is 90,000
What is the sum of the first 40 odd numbers?
The sum of the first 40 odd numbers is 1,600.
What is the sum of the first 8000 odd numbers?
The sum of the first 8,000 odd numbers 64,000,000.
What is the sum of the first 600 odd numbers?
The sum of the first 600 odd numbers is 360,000.
