4.1 Expanding (1 + x)^n
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Given that kkk is a constant and the binomial expansion of 1+kx,∣kx∣<1\sqrt{1 + kx}, \quad |kx| < 11+kx​,∣kx∣<1 in ascending powers of xxx up to the term in x3x^3x3 is 1+14x+Ax2+Bx31 + \frac{1}{4}x + Ax^2 + Bx^31+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.

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4.1 Expanding (1 + x)^n Questions

Practise Edexcel A Level Maths 4.1 Expanding (1 + x)^n with exam-style questions for A Level Maths. 12 questions, 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.

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4.1 Expanding (1 + x)^n Questions

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