CAIE P1 2024 November — Question 1 3 marks

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionNovember
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicArithmetic Sequences and Series
TypeFind term or common difference
DifficultyEasy -1.2 This is a straightforward arithmetic progression question requiring only the application of the standard formula a_n = a + (n-1)d. Students find d from the two given terms, then substitute to find the 30th term—a routine two-step calculation with no conceptual challenge or problem-solving required.
Spec1.04h Arithmetic sequences: nth term and sum formulae

An arithmetic progression has fourth term 15 and eighth term 25. Find the 30th term of the progression. [3]

Question 1:
AnswerMarks Guidance
1a+3d =15 and a+7d =25 M1
a.
 5 15
Finding a and d d = , a=
 
AnswerMarks Guidance
 2 2 DM1 Or any valid method to find a using their d or d using their a
or findingu directly from either u or u and d.
30 4 8
15 5
u = +29 =80
30
AnswerMarks
2 2A1
3
AnswerMarks Guidance
QuestionAnswer Marks
Question 1:
1 | a+3d =15 and a+7d =25 | M1 | Or forming any valid equations which can be used to find d or
a.
 5 15
Finding a and d d = , a=
 
 2 2  | DM1 | Or any valid method to find a using their d or d using their a
or findingu directly from either u or u and d.
30 4 8
15 5
u = +29 =80
30
2 2 | A1
3
Question | Answer | Marks | Guidance
An arithmetic progression has fourth term 15 and eighth term 25.

Find the 30th term of the progression. [3]

\hfill \mbox{\textit{CAIE P1 2024 Q1 [3]}}