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Edexcel A-level Mathematics · 9MA0

Sigma notation

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Extreme practice · Multi-step problems within A-level pure maths. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

  • 01 · Pure 1 · 100 marks · 2 hours
  • 02 · Pure 2 · 100 marks · 2 hours
  • 03 · Statistics & mechanics · 100 marks · 2 hours
Official specification ↗ · Official past papers ↗
QUESTION PAPER
Mathematics · A levelPure Mathematics practice · 9MA0
Torus Maths original · Edexcel style
1.

A sequence is defined by un=(n+3)/2nu_n=(n+3)/2^n, n≥1n\geq1. Let SN=u1+⋯+uNS_N=u_1+\cdots+u_N.

(a)

Find a simplified expression for S_N in terms of N.

(5)

(b)

Find the sum to infinity. Find the least N for which the difference between S_N and this sum is at most 0.01.

(4)

(Total for Question 1 is 9 marks)

Question reference: edexcel-a-level-extreme-11-01Report a question →
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