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Binomial Expansion

Binomial Expansion

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Question 312

The calibration of a specialized velocity sensor C(v)C(v)C(v), where v v\,v represents a small change in velocity from a reference state, is modeled by the function:

C(v)=15(25+kv)−12 C(v) = 15(25 + kv)^{-\frac{1}{2}} C(v)=15(25+kv)−21​

Given that the binomial expansion of C(v)C(v)C(v) in ascending powers of v v\,v is P−0.12v+Rv2+…P - 0.12v + Rv^2 + \dotsP−0.12v+Rv2+…

a.

find the values of the constants kkk, PPP, and RRR.

[4]
b.

State the range of values of v v\,v for which this expansion is valid.

[1]
c.

For this expansion, find the coefficient of the term in v3v^3v3.

[2]
Markscheme

Binomial Expansion Questions

  1. A Level
  2. /Maths
  3. /Binomial Expansion

409 exam-style questions on Edexcel A Level Maths Binomial Expansion, covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

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