You do not need a conjecture; you can calculate the answer. The answer is 10,100
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.
The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.The formula for the sum of an arithmetic sequence is ((first number) + (last number)) x (how many numbers) / 2, in this case, (1 + 100) x 100 / 2.
The first five prime numbers are 2, 3, 5, 7, 11. The sum of these five numbers is 28.
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.
You do not need a conjecture; you can calculate the answer. The answer is 10,100
The sum of the first 100 numbers, excluding zero, is 5,001.
The sum of the first 100 odd numbers is 10,000.
The sum of the cubes of the first 100 whole numbers is 25,502,500.
The sum of the first 100 positive even numbers is 10,100.
The sum of the first 100 even numbers is 10,100
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.
The sum of the first 100 natural numbers is 5,001.
The sum of the first 100 prime numbers is 24,133
The sum of all the first 100 even numbers is 10,100.
The sum of the first 100 counting numbers (1-100) is 5,001.
The sum of the first 10 odd whole numbers is 100.