Edexcel IALMathematicsGeneral Applications5 Marks
The 5th term of an arithmetic series is 18 and the 10th term is 33. Find the first term and the common difference of the series.
- (a)The 5th term of an arithmetic series is 18 and the 10th term is 33. Find the first term and the common difference of the series.[5]
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- B1 for writing down a + 4d = 18 (correct formula for n-th term).
- B1 for writing down a + 9d = 33 (correct formula for n-th term).
- M1 for attempting to solve the simultaneous equations (e.g., substitution, elimination).
- A1 for d = 3 (or a = 6).
- A1 for a = 6 and d = 3 (both correct).
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