need help with fractions question

[stark lily]

It's simple. First look at the pattern of the factors (1-1/2), (1-1/3),...,(1-1/49),(1-1/50). So it's always 1 minus 1 over some number and the number is clearly starting at 2 and going to 3 and so on all the way up to 49 and finally 50 so the product is clearly Π(1-1/n) for n = 2 to 50.

Π(1-1/n) = Π((n-1)/n) = Π(n-1)/Πn (product of quotient is the same as the quotient of a product) for the same bounds.

what don't you understand?

Oh, have you ever seen this symbol: Σ?

Ok, so Σ is basically a way to write sums. so if I wanted to add all the numbers from 1 to 10, viz., 1+2+3+4+5+6+7+8+9+10, I could just right Σn for n starting at 1 and then going all the way to 10.

Have you ever programmed before? if you have it's sort of like a for loop.

Π is the same thing but it's looping through all the numbers and multiplying them instead of adding them.