Recent content by richievuong

is divisible by 48... so since both sides can be divisible by 48...can i conclude that f(n+2) is divisible by 48...and so conclude my whole proof altogether since I've proved both f(n) and f(n+2)

k²+k has to be even for any value of k...so therefore its divisible by 2?

i don't know lol I'm so close... is it because since i tested f(2) beforehand, 2 is also divisible... and 2 x 24 = 48?

6n² + 12n... so then n = 2k cause its even 6(2k)² + 12(2k) 6(4k²) + 24k 24k² + 24k is that it?

wait let me try this again f(n+2) = (n+2)³ - 4(n+2) = n³ + 6n² + 12n + 8 -4n - 8 since f(n) = n³-4n and proven that it was divisible by 48 f(n+2) = n³ - 4n + 6n² + 12n = n³ - 4n + 6n(n+2)

f(n+2) = (n+2)³ - 4(n+2) = n³+6n²+8n where do i go from here?

ah thank you i think i understand it a bit more now wait..is it f(n+2) or f(2n) ? i thought for any even number its 2n and for odd its 2n+1 okay so f(2) = (2)³ - 4(2) = 0 therefore for n=2 it is true f(2n) = (2n)³ - 4(2n) = 8n³ - 8n = 8n(n²-1) how do i prove from hereforth that...

Homework Statement 1. Prove that if n is an even positive integer, then n³-4n is always divisible by 48. 2. Prove taht the square of an odd integer is always of the form 8k+1, where k is an integer. 3. Observe that the last two digits of 7² are 49, the last two digits of 7³ are 43...

i'm saying that the final velocity of the barge+plane which is 3000kg would be 16.667m/s by using the conservation of momentum equation... m1v1' would be 0 because the plane loses all momentum and transfers it to the barge right? if not please clarify because I'm starting to get confused...

A 1000kg plane is trying to make a forced landing on the deck of a 2000 kg barge at rest on the surface of a calm sea. The only frictional force to consider is between the plane's wheels and the deck, and this braking force is constant and equal to 1/4 of the plane's weight What must the minimum...

The displacement from London, Uk, to Rome is 1400km [43 degrees E of S]. A wind is blowing with a velocity of 75km/h [E]. The pilot wants to fly directly from London to Rome in 3.5h. What velocity relative to the air must the pilot maintain? [p = plane, a = air, g = ground] Vpa + Vag = Vpg...

Q: Why do aspirin tablets taste sour? A: I know that Aspirin is an ester (acetylsalicylic acid), and it is synthesized by combining salicylic acid and acetic anhydride. But other than the fact that acids taste sour...is there a further explanation of why aspirin tablets taste sour?

Please, need a reply

A question from my pre-unit test review A ball is projected from point A with an intial velocity Vo, which is perpendicular to the incline shown. Knowing that the ball strikes the incline at B, determine the range R in terms of Vo and β. Diagram can be seen here...

Sorry, but I don't quite understand what "subsequent polymerization" really means... Going off topic a bit: Are there any good chemistry books/text books that are good for reinforcing what I'm learning (I'm doing grade 12 chemistry in high school using the Nelson Chemistry 12 textbook -...