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Mathematics 19 Online
OpenStudy (anonymous):

which of the following statements is (are) true for all postitive intergers 1) 7^n-2^n is divisible by 5 2) n^2+2n is divisible by

OpenStudy (zzr0ck3r):

I dont understand what they want you to do, if you dont need to prove it, there is no way to show it....unless you want to go through every number in the real numbers, but that might take a while.

OpenStudy (anonymous):

tbh i just wrote the questions it gave me and i dont understand either

OpenStudy (zzr0ck3r):

what class is this for?

OpenStudy (anonymous):

summer school

OpenStudy (anonymous):

its an online thingy hah

OpenStudy (anonymous):

sub in the 1 into the first equation to see if it is divisible by 5..

OpenStudy (zzr0ck3r):

yes but he does not know how to prove things by induction...

OpenStudy (anonymous):

since it says all positive integers; then start with 1

OpenStudy (anonymous):

it doesnt have to. that is the first step for induction. and the question requires the first step

OpenStudy (anonymous):

you dont need to prove by mathematical induction after that

OpenStudy (zzr0ck3r):

?, just showing for 1 does not help.?

OpenStudy (anonymous):

why not? n=1 if it is divisible by 5 then youre done

OpenStudy (anonymous):

wth does divisible mean?

OpenStudy (anonymous):

it can be divided by whatever number

OpenStudy (anonymous):

sounds like divide

OpenStudy (zzr0ck3r):

3^x + 5^x is divisible by 8 when x = 1 but not when x = 2

OpenStudy (anonymous):

ohh

OpenStudy (zzr0ck3r):

this is not right, lots of things will hold for one number and not another

OpenStudy (anonymous):

it says choose which statement. its obv. one statement is wrong

OpenStudy (zzr0ck3r):

it says chhose the statement that is true, they could both be true choose the statement that is true 3>1 2>1

OpenStudy (zzr0ck3r):

what is the last one? is divisible by what?

OpenStudy (zzr0ck3r):

@Omniscience divisible by means no remainder, like 6 is divisble by 3 but not 5

OpenStudy (anonymous):

2

OpenStudy (anonymous):

i kinda ran out of time on the quiz lol

OpenStudy (zzr0ck3r):

i think the first one is and the second one is for sure not.

OpenStudy (zzr0ck3r):

n^2 + 2n when n = 1 is 3

OpenStudy (zzr0ck3r):

o sorry man, what sort of math class is this for?

OpenStudy (anonymous):

adv algebra

OpenStudy (zzr0ck3r):

its a lame question then, you do not have the tools to answer these.

OpenStudy (zzr0ck3r):

just because the first 20000000000 numbers might make something true, does not mean that 20000000001 will be true.

OpenStudy (anonymous):

naw mani dont have a calculator

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