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Sequences and Series

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Question 123

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

In an arithmetic series:

  • the fourth term is 6
  • the sum of the first eight terms is 92

For this series,

a.

find the value of the first term, aaa, and the value of the common difference, ddd.

[5]
b.

Hence find the smallest value of nnn for which Sn>5000S_n > 5000Sn​>5000.

[4]

Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /Sequences and Series

Practise Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 156 questions covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

Algebraic Methods
Functions and Graphs
Sequences and Series
Binomial Expansion
Radians
Trigonometric Functions
Trigonometry and Modelling
Parametric Equations
Differentiation
Numerical Methods
Integration
Vectors