These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
These are explanations and solutions for IB past papers, not the official version. For official papers, you can go to IB Follet or access them through your school.
02 Hours
110 Marks
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IB MATH AA HL, Paper 1, May, 2022, TZ2, Solved Past Paper
Master the 2022 IB May for Paper 1 Mathematics AA HL with examiner tailored solutions and comments for TZ2
Question 1 [Explained]
In a sequence of numbers where the difference between consecutive numbers is constant, the term's value is determined by subtracting three times its position number from fifteen.
This is represented by the formula (un = 15 - 3n), where (un) denotes the value of the term and (n) indicates the term's sequential position.
Question 1 [a] [Explanation]
The question asks us to determine the initial value of a sequence. Specifically, we need to find out the value of (u1), which represents the first term in the sequence. This initial value is essential as it sets the starting point for the sequence and affects how subsequent terms are calculated based on the sequence's defining properties.
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Question 1 [b] [Explanation]
For a given sequence, if the (n)th term is identified as (-33), what is the value of (n)?
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Question 1 [c] [Explanation]
Determine the value of d, which represents the common difference in the given arithmetic sequence.
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Question 2 [Explained]
Consider a sequence of three consecutive integers: (n - 1), (n), and (n + 1).
Question 2 [a] [Explanation]
Show that whenever you add three particular whole numbers, the total is a number that can be evenly divided by 3.
These aren't just any whole numbers; they follow a specific pattern or rule. Let's call these numbers n, n+1, and n+2 — where n represents any starting whole number. The interesting part is that no matter what starting number you choose for n, when you add it to the next two consecutive whole numbers, the sum will always be a multiple of 3.
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