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5) (i) The first few terms of a sequence (xn) are given below. Assuming that the "natural pattern" indicated by these persists, give a formula for the term xn. 1/2,-1/4,1/8,– 1/16, ... (iii) List the first five terms of the following inductively defined sequence Y₁ = 2, Yn+1 = ¾½-½(Yn + 2/yn)

5) (i) The first few terms of a sequence (xn) are given below. Assuming that the "natural pattern" indicated by these persists, give a formula for the term xn. 1/2,-1/4,1/8,– 1/16, ... (iii) List the first five terms of the following inductively defined sequence Y₁ = 2, Yn+1 = ¾½-½(Yn + 2/yn)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Intro To Real Analysis 

5) (i) The first few terms of a sequence (xn) are given below. Assuming that the "natural pattern" indicated by these persists, give a formula for the term xn. 1/2,-1/4,1/8,– 1/16, ... (iii) List the first five terms of the following inductively defined sequence Y₁ = 2, Yn+1 = ¾½-½(Yn + 2/yn)
Transcribed Image Text:5) (i) The first few terms of a sequence (xn) are given below. Assuming that the "natural pattern" indicated by these persists, give a formula for the term xn. 1/2,-1/4,1/8,– 1/16, ... (iii) List the first five terms of the following inductively defined sequence Y₁ = 2, Yn+1 = ¾½-½(Yn + 2/yn)
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