does anyone know the "card trick" where you have 52 cards and you push the top card out til it tips... which is 1/2 of a card. next you push the second card from the top out til it tips... which you can only push out 1/4 of the way... next push out the third card from the top and it goes ______ until it tips. This book i'm reading says it goes 1/6, but I can't tell how they get it... I keep getting 1/8? Can anyone help me?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Is this the only information they present? It seems like from 1/2 and 1/4, 1/8 and 1/6 would be equally correct.
the context of the problem is showing through example the summation of a harmonic series... they're saying 1/2+1/4+1/6+1/8+1/10+.... +1/n =infinity... i just don't know how they get the harmonic sequence out of the card example... cause to me it would be geometric... meaning 1/2+1/4+1/8+1/16+...+1/n^2 ...which converges... what do you think?
So, basically, to me, two numbers aren't enough to discern a pattern there -- precisely because of the alternative you mention. I'm not sure where they magically derive the conclusion that it would be a harmonic sequence; there just doesn't seem to be enough information to conclude that.