induction (1 Viewer)

[bobohappy]

hey there,

could you please help me with these induction questions (please see attached)


thank you,

 

[untouchablecuz]

i) find k such that P_k+1/P_k>1

ii) P_n=²ⁿC_n(0.5)ⁿ(0.5)^2n-n=²ⁿC_n(0.5)²ⁿ

simplify

iii) is attached

edit: ok i made a mistake; in the 4th line of working i factored out 2²ⁿ four times => i should have factored out 2ⁿ four times because their are n 2's and not 2n 2's

hence, this gets rid of the spare 2⁴ⁿ and so disregard the second last line