f(x) (1 5x) 30 a Find the first four terms, in ascending powers of x, in the binomial expansion of f(x) b Use your answer to part a to estimate the value of (0 995) 30 , giving your answer to 6 decimal places c Use your calculator to evaluate 0 995 30 and calculate the percentage error in your answ...

To find the first four terms in the binomial expansion of fx 1 5x30 well use the binomial theorem wh ...

f(x) = (1 5x) 30 a. Find the first four terms, in ascending powers of x,

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f(x) = (1 − 5x)³⁰

a. Find the first four terms, in ascending powers of x, in the binomial expansion of f(x).

b. Use your answer to part a to estimate the value of (0.995)³⁰, giving your answer to 6 decimal places.

c. Use your calculator to evaluate 0.995³⁰ and calculate the percentage error in your answer to part b.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

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Authors: Greg Attwood

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Question Posted: Jul 15, 2023 02:55 AM

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f(x) = (1 5x) 30 a. Find the first four terms, in ascending powers of x,

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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