Which sequence could be described given the following information: a, = 1 and the recursive defintion is an+1 (an)2 + 1? %3D O A. (1, 2, 5, 26, 677, ...} B. (1, 5, 10, 17, 26, 37, ...} O C. (1, 2, 4, 8 ,16, ...} D. (1, 3, 7, 15, 31, ...}

Which sequence could be described given the following information: a, = 1 and the recursive defintion is an+1 (an)2 + 1? %3D O A. (1, 2, 5, 26, 677, ...} B. (1, 5, 10, 17, 26, 37, ...} O C. (1, 2, 4, 8 ,16, ...} D. (1, 3, 7, 15, 31, ...}

Name: Which sequence could be described given the following information:a =
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Description: Which sequence could be described given the following information:a = 1 and the recursive defintion is an+1 =(an)? + 1?O A. (1, 2, 5, 26, 677, ...}B. (1, 5, 10, 17, 26, 37, ...}OC. {1, 2, 4, 8 ,16, ...}D. (1, 3, 7, 15, 31, ...}

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter13: Sequences And Series

Section13.CT: Chapter Test

Problem 2CT

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Which sequence could be described given the following information:
a = 1 and the recursive defintion is an+1 =
(an)? + 1?
O A. (1, 2, 5, 26, 677, ...}
B. (1, 5, 10, 17, 26, 37, ...}
OC. {1, 2, 4, 8 ,16, ...}
D. (1, 3, 7, 15, 31, ...}

Expert Solution

Step 1

Given :-

The given $a_{1} = 1$ and the recursive definition is $a_{n + 1} = {(a_{n})}^{2} + 1$ .

To Determine :-

The sequence from this given information.

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