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Further Mathematics Paper 2, Nov/Dec. 2009  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
General Comments
Weakness/Remedies
Strength
Question 4

(a)      Write down the first three terms of the binomial expansion (1 + 3x in ascending powers of  x.
(b)     Use the expansion in (a) to find, correct to three decimal places, the value of .

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Observation

Majority of the candidates were reported not to have performed well in this question. This the report attributed to the fractional power of the expression.  Expanding this expression gave (1 + 3x =  + 1/3(3x) + 1/3(-2/3)(3x)2 + ….   = 1 + x – x2 + ….    = 3(1 + 1/27  =  3[1 +  - ()2 + …]   =  3[1 + 0.0123457 – 0.0001524] = 3(1 + 0.0121933 …) = 3.037 to 3 decimal places.

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