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Mathematics 22 Online
OpenStudy (inkyvoyd):

I'm bored. Time for some math problems.

OpenStudy (inkyvoyd):

Gimme a sec.

OpenStudy (inkyvoyd):

Lemme search for a good one.

OpenStudy (inkyvoyd):

OpenStudy (inkyvoyd):

Feel free to tag people. Just not too many, pwease.

OpenStudy (anonymous):

these look easy but ever since i took a knee to my arrow....

OpenStudy (inkyvoyd):

LOOL

OpenStudy (anonymous):

solution for #5 incoming

OpenStudy (anonymous):

the bottom can be factored as (n-1)(n+1). from there you can cancels things accordingly. IE \[2^2/(2^2 -1)* 3^2/(3^2-1) = 2^2/[(2-1)(2+1)] * 3^2/[(3-1)(3+1)]\] also notice that you can just cancel one of the numbers before and after, IE (2+1) will cancel one of the 3's, and (3-1) will cancel one of the 2's. This is the genesis of this question. you will end up having: \[99!/100\]

OpenStudy (inkyvoyd):

You're on the right track, but teh answer is incorrect.

OpenStudy (anonymous):

oh. The only number left on the numerator are 2 * 99, since these numbers only get canceled once since they are on the edges. so the actual soultion is \[2*99/100 = 99/50\] i hope D:

OpenStudy (inkyvoyd):

Yup.

OpenStudy (inkyvoyd):

@FoolForMath , wanna join? THese are easy, but still.

OpenStudy (anonymous):

lol. Maybe they can explain telescoping series to me and how to solve them quicker.

OpenStudy (inkyvoyd):

lool. These are 7th grade math probs.

OpenStudy (anonymous):

For Q5, is it2(99)/100 => 99/50?

OpenStudy (inkyvoyd):

99/50.

OpenStudy (inkyvoyd):

so, yes.

OpenStudy (anonymous):

Cool~~~ Should I show workings?

OpenStudy (inkyvoyd):

Well, i'm pretty sure there are only 3 ways to solve this.

OpenStudy (inkyvoyd):

1. What alexander did (prob what you did) 2. number crunching LOOOL 3. Capital pi and some fancy shtuff

OpenStudy (anonymous):

For Q4, is it 11/20?

OpenStudy (anonymous):

the solution for #4 is pretty much the same, however the binomial is on the numerator this time. The same strategy should work.

OpenStudy (anonymous):

For Q6, is it 2?

OpenStudy (inkyvoyd):

I wish I had my monster geometry problems on me. These are too eas.

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