Question

i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ‍♀️

Answer 1

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=