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Sequences and Series

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Question 113
a.

Verify that ∑r=5∞27×(13)r=16\displaystyle \sum_{r=5}^{\infty} 27 \times \left(\frac{1}{3}\right)^r = \frac{1}{6}r=5∑∞​27×(31​)r=61​

[3]
b.

Find the value of ∑n=163log⁡2(n+1n)\displaystyle \sum_{n=1}^{63} \log_2 \left(\frac{n+1}{n}\right)n=1∑63​log2​(nn+1​)

[3]
Markscheme

Sequences and Series Questions

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

326 exam-style questions on Edexcel A Level Maths Sequences and Series, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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