Which of the followings are false? I. sinn 2n is a divergent sequence. n=1 II. The sequence {v3 – 1, y8 – 2, /14 – 3, v24 – 4, 35 – 5, ...} converges to 1. III. {r"} is convergent when r = -0, 5. IV. Let aj = 1 and an+1 = VI+ 2a, for n=2,3,... Then an is a divergent sequence. O a. I, II O b. I, IV O c. I, II O d. II, IV O e. I, II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Which of the followings are false?
sinn
I.
2n
is a divergent sequence.
n=1
II. The sequence {v3 – 1, v8 – 2, /14 – 3, v24 – 4, 35 – 5, ...} converges to 1.
II. {r"} is convergent when r = -0, 5.
IV. Let a1 = 1 and an+1
VI+ 2a, for n=2,3,... Then an
is a divergent sequence.
O a. I, II
O b. I, IV
O c. II, II
O d. II, IV
O e. I, II
Transcribed Image Text:Which of the followings are false? sinn I. 2n is a divergent sequence. n=1 II. The sequence {v3 – 1, v8 – 2, /14 – 3, v24 – 4, 35 – 5, ...} converges to 1. II. {r"} is convergent when r = -0, 5. IV. Let a1 = 1 and an+1 VI+ 2a, for n=2,3,... Then an is a divergent sequence. O a. I, II O b. I, IV O c. II, II O d. II, IV O e. I, II
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