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MIP1502 Assignment 3 2023 (787060) (correct answers)
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MIP1502 Assignment3 2023 (787060)
UPDATED QUESTIONS
AND ELABORATE
ANSWERS
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, Question 1
1.1 If Lize would continue counting 3; 8; 13; ….
1.1.1 What is the 100th number that she will count? Show Lize how to
calculate the 100th number instead of actually counting all the way up to the
100th number. (6)
1.1.2 Will Lize count 996? Explain your reasoning (4)
1.1.3 What is the position number of 1003? (2)
1.2 What does it mean to see a pattern? (2)
1.3 What is the difference between numerical patterns and geometrical
patterns? Illustrate your thinking with examples. (6)
1.4 What is the importance of learning patterns in mathematics? (4)
1.5 Create three numerical expressions for 13 using only the digits 1, 2, 3, and
4. Please note that you can only use one digit twice, and you must use all four
digits. (6) [30]
1.1 To find the 100th number that Lize will count, we need to determine the pattern in
the given sequence. From the given sequence 3, 8, 13, we can observe that each number
is obtained by adding 5 to the previous number. So, the pattern is +5.
To calculate the 100th number without counting all the way up, we can use the formula:
nth number = First number + (n - 1) * Common difference
In this case, the first number is 3, the common difference is 5, and we want to find the
100th number, so n = 100.
Using the formula:
100th number = 3 + (100 - 1) * 5 = 3 + 99 * 5 = 3 + 495 = 498
Therefore, the 100th number that Lize will count is 498.
1.1.2 Lize will not count 996 because it does not fit the pattern. The pattern is obtained
by adding 5 to each previous number. Starting from 3, the next number should be 8 (3 +
5), then 13 (8 + 5), and so on. Since 996 is not in this sequence, Lize will not count it.
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