SPM 2023 Add Maths Paper 2, Question 6Progressions
Solved on video in English and Bahasa Melayu · Form 4, Progressions · 7:41 video
The question
There are two geometric progressions, A and B. The first term of A is 8 and the first term of B is 4. Both progressions have the same sum to infinity. The sum of the 3rd term of A and the 3rd term of B is 9/4. The tenth term of A is negative.
A student states that the sum of the first 4 terms of A is larger than the sum of the first 4 terms of B. Is the statement correct? Give your justification.
7:41Step 1
Let A have first term 8 and common ratio x; B have first term 4 and common ratio y.
10 more steps, each with the reason for it, in the full solution
Final answer
Not correct: S4(A) = 5 < S4(B) = 5.3125
Where students lose marks
Watch out: T10(A) < 0 means x < 0, which rejects y = 23/36. Then compare both S4 values, not just state 'no'.
Watch every step of this question solved on video (7:41), with the reason behind each step and a box that checks your own answer.
No card. Every past-year question on video, in English and BM.
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