They are 36 and 64
100
The sum of the squares of the first 100 natural numbers [1..100] is 338350, while the sum of the first 100 natural numbers squared is 25502500.
100 + 49 + 1
This is very easy. Simply square the number: 100 squared (100 x 100) = 10,000. So, the sum of the first 100 odd numbers is 10,000.
They are 36 and 64
100
The sum of the squares of the first 100 natural numbers [1..100] is 338350, while the sum of the first 100 natural numbers squared is 25502500.
100 + 49 + 1
This is very easy. Simply square the number: 100 squared (100 x 100) = 10,000. So, the sum of the first 100 odd numbers is 10,000.
They are: 36 and 64
02 + 02 = 0; all other numbers squared are greater than 0. Otherwise 25 (= 52) = 32 + 4262 + 82 = 100√100 = 10; √1000 ≈ 31.6, so largest square less than 1000 is 312Between 100 and 1000 there are 31-10 = 21 square numbers (22 if 100 itself is included since 100 = 102)
18
The sum of the first 100 numbers, excluding zero, is 5,001.
The sum of the numbers from 1 through 100 is 5,050.
The sum of the first 100 odd numbers is 10,000.
Square the numbers and then add them together. Example: 62 + 82 = 36 + 64 = 100