Let y₁ = 6 and define yₙ₊₁ = (3yₙ - 4)/4 for each n > 1. (a) Use induction to prove that yₙ < 4. (b) Use induction to prove that the sequence {yₙ} is decreasing (yₙ₊₁ < yₙ).
a) Both (a) and (b) are true
b) Only (a) is true
c) Only (b) is true
d) Both (a) and (b) are false