Let annge1 be a sequence defined as follows: a1=1 and an+1=7an+11/21, ninmathbb N. Which of the following statements is TRUE?

(D) annge1 is a decreasing sequence with limntoinftyan=11/14

Q4Section A (Section A)4 of 60

Monotonicity and limit of a linear recurrence

Let $\{a_n\}_{n\ge1}$ be a sequence defined as follows: $a_1=1$ and $a_{n+1}=\dfrac{7a_n+11}{21}$ , $n\in\mathbb N$ . Which of the following statements is TRUE?

Pick an option to check your answer.

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