Sequences and series: convergence

Celia, C W; Nice, A T F; Elliott, K F

doi:10.1007/978-1-349-06711-4_6

C W Celia⁷,
A T F Nice^8,9 &
K F Elliott¹⁰

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Abstract

A sequence u₀, u₁, u₂, …, u_n, … is a succession of expressions, each formed uniquely by some given procedure, e.g. 1¹, 2², 3³, …, r^r, … is a sequence defined by u_r = r^r.

$$2,2,4,6,10, \ldots ,{u_r}, \ldots $$

is a sequence defined by u₁ = u₂ = 2, u_r = u_r-1 + u_r-2, when r > 2.

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Authors and Affiliations

City of London Polytechnic, UK
C W Celia (formerly Principal Lecturer in Mathematics)
Mathematics Department, Lady Eleanor Holles School, Hampton, UK
A T F Nice (formerly Principal Lecturer in Mathematics)
Middlesex Polytechnic, UK
A T F Nice (formerly Principal Lecturer in Mathematics)
Division of Mathematics Education, Derby Lonsdale College of Higher Education, UK
K F Elliott (formerly Head)

Authors

C W Celia
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A T F Nice
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K F Elliott
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Editors and Affiliations

University of London School Examinations Board, UK
C. Plumpton (Moderator in Mathematics, formerly Reader in Engineering Mathematics) (Moderator in Mathematics, formerly Reader in Engineering Mathematics)
Queen Mary College, London, UK
C. Plumpton (Moderator in Mathematics, formerly Reader in Engineering Mathematics) (Moderator in Mathematics, formerly Reader in Engineering Mathematics)

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Celia, C.W., Nice, A.T.F., Elliott, K.F. (1985). Sequences and series: convergence. In: Plumpton, C. (eds) Advanced Mathematics 3. Palgrave, London. https://doi.org/10.1007/978-1-349-06711-4_6

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DOI: https://doi.org/10.1007/978-1-349-06711-4_6
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-34827-7
Online ISBN: 978-1-349-06711-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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