Find, in ascending powers of x, the first 3 terms in the expansion of (2 – 5x)⁶, giving your answer in the form a + bx + cx², where a, b and c are integers.
- (i)Find, in ascending powers of x, the first 3 terms in the expansion of (2 – 5x)⁶, giving your answer in the form a + bx + cx², where a, b and c are integers.[3]
- (ii)Find the coefficient of x in the expansion of `(2 – 5x)⁶ (1 + x/2)¹⁰`.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.
- B1, B1, B1 B1 for each correct term, allow 2⁶
- M1 M1 for 2 terms
- B1 B1 for 10/2 or 5
- A1
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