Let a1=5 and define recursively an+1=3^1/4(an)^3/4,quad nge 1. Then, which of the following statements is TRUE?

(B) an is monotone decreasing, and limntoinftyan=3

Q26Section A (Section A)26 of 60

Monotone geometric-power recurrence

Let $a_{1}=5$ and define recursively $a_{n+1}=3^{\frac{1}{4}}\bigl(a_{n}\bigr)^{\frac{3}{4}},\quad n\ge 1.$ Then, which of the following statements is TRUE?

Pick an option to check your answer.

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