O-LevelAdditional MathematicsSeries4037/11 · May/June 2024 · Q47 Marks
4 (a) The first three terms, in ascending powers of x, in the expansion of (3+px)ⁿ are 243+810x+qx², where n, p and q are constants. Find the values of n, p and q. (b) Find the term independent of y in the expansion of (2y-1/(3y²))⁶. Give your answer in exact form.
- (a)The first three terms, in ascending powers of x, in the expansion of (3+px)ⁿ are 243+810x+qx², where n, p and q are constants. Find the values of n, p and q.[5]
- (b)Find the term independent of y in the expansion of (2y-1/(3y²))⁶. Give your answer in exact form.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [5] B1 (for 4a) n=5
- [5] M1 For considering the second term. Allow for use of their n
- [5] A1 p=2
- [5] M1 For considering the third term. Allow for use of their n and p²
- [5] A1 q = 1080
- [2] M1 For identifying the correct term. Condone errors with brackets and coefficients. Could be implied by a correct answer
- [2] A1 Must be exact. Allow 240/9 or 26 2/3
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