The conjecture about the sum of the first 35 positive even numbers is 35 * 36
Making a conjecture about the sum of the first 35 positive even numbers.
From the question, we have the following parameters that can be used in our computation:
The table of values
Where, we have
2 = 1 * 2
2 + 4 = 2 * 3
2 + 4 + 6 = 3 * 4
And so on
This means that
Sum of first n positive even numbers = n * (n + 1)
So, for the first positive even numbers, we have
n = 35
This gives
Sum of first 35 positive even numbers = 35 * (35 + 1)
Evaluate
Sum = 35 * 36
Sum = 1260
Hence, the sum is 35 * 36