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3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

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Question 91

Given that kkk is a constant and the binomial expansion of

1+kx,∣kx∣<1 \sqrt{1 + kx}, \quad |kx| < 1 1+kx​,∣kx∣<1

in ascending powers of xxx up to the term in x3x^3x3 is

1+14x+Ax2+Bx3 1 + \frac{1}{4}x + Ax^2 + Bx^3 1+41​x+Ax2+Bx3
a.

(i) find the value of kkk,

(ii) find the value of the constant AAA and the constant BBB.

[5]
b.

Use the expansion to find an approximate value to 1.2\sqrt{1.2}1.2​.

Show your working and give your answer to 6 decimal places.

[4]
Markscheme

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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