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Sum of the first n odd integers?

Let's talk this out and see if we can work it out. The sum of the first N odd integers means, 1+3+5+7+9+11+... Where N is how many odd numbers we're adding. Let's choose numbers for N, and see if we can find a pattern. N=1 --> 1 (sum of the first odd integer) N=2 --> 1 + 3 = 4 (sum of the first 2 odd integers) N=3 --> 1 + 3 + 5 = 9 (sum of the first 3 odd integers) N=4 --> 1 + 3 + 5 + 7 = 16 Do you notice a pattern yet? Take a look at when N = 2, what is the sum? That's right, 4! and when N = 3... the sum is 9. N = 4 the sum is 16.... I see a pattern, do you? Answer: If you don't, you'll notice that the sum of the first N odd integers is always = N2


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.


How do you find the sum of the first 50 odd numbers quickly?

2500


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 1000 odd numbers?

The sum of the first 1,000 odd numbers is 1,000,000.


What is the sum of the first 50 odd numbers?

The sum of the first 50 odd numbers is 2,500.


What is the sum of the first 8 odd number?

The sum of the first 8 odd numbers is 64.


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 153 odd numbers?

The sum of the first 153 odd numbers is 23,409.


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 9 odd numbers?

The sum of the first nine odd numbers is 81.


What is the sum of the first 13 odd numbers?

The sum of the first 13 odd numbers is 169.