Calculate several first values of the product:
and guess the general expression for it.
Prove your guess by mathematical induction.
I would conjecture that: .
Hi, i am clear on how to answer many questions on proof by induction, however i dont understand how to do this question! My lecturer has not explained it at all and i am so panicking!!!!
Calculate several first values of the products
(1 −4/(2j − 1) ²) = (1 −4/3²)(1-4/5² )(1 −4/7²)・ ・ ・(1 −4/(2n − 1) ²)
and guess the general expression for it. Prove your guess by mathematical induction.
Nobody has to tell me the answer, but could please someone explain how to do it??
Hint: for , we have
. Use the hypothesis that the formula is true for on the last expression.
Sorry: I didn't see you posted the solution a bit before me, Soroban.
THANKYOU SO MUCH YOU GUYS!!! I understand it!!!
Im getting so frustrated with my classes, because my assessment has questions on induction i dont even remember being mentioned!
Hypothetically, if your doing proof by induction for inequalities which involves a sequence, you would just need to focus on the part of the inequality which isnt the sequence?????
Dont know what id do without this site at the moment!!!!!And you guys!!!