Pick ONE of the two problems below to solve. You do NOT have to do both of them. If you submit work for both problems, we will only grade part (a).

(a) Assume the following implicit sequence converges. Find what it converges to. a_{n+1} = \dfrac{1}{-a_n + \sqrt{5}},\ \ a_1=2.

an+1

?=?an

?+5

?

1

?,a1

?=2.

(b) Does the following sequence converge or diverge? \left\{\dfrac{\cos(3n)}{\sqrt{n}} ight\}_{n=1}^{\infty}

{n

?

cos(3n)

?}n=1

?

?

03 Problem 2 10 Points Pick ONE of the two problems below to solve. You do NOT have to do both of them. If you submit work for both problems, we will only grade part (a). (a) Assume the following implicit sequence converges. Find what it converges to. an+1 = 1 , (11:2. an+x/5 (b) Does the following sequence converge or diverge? { 13:1 Ia Please select file(s) Select le(s)