O-LevelAdditional MathematicsSeries4037/12 · May/June 2016 · Q25 Marks
The first 3 terms in the expansion of (2 - 1/(4x))^5 are a + b/x + c/x². Find the value of each of the integers a, b and c.
- (i)The first 3 terms in the expansion of (2 - 1/(4x))^5 are a + b/x + c/x². Find the value of each of the integers a, b and c.[3]
- (ii)Hence find the term independent of x in the expansion of (2 - 1/(4x))^5 (3+4x).[2]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [3] B3 for each correct term – must be integers
- [1] M1 for (3xtheir 32)+ ((-20)/x * 4x)
- [1] A1 Accept 16x°
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