Mathematics for Intermediate Phase Teachers II MIP1502 Year module Department of Mathematics Education ASSESSMENT 3 UNIQUE NO: DUE ATE : 04 JULY 2023
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 ca...
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)
1.1.1 To find the 100th number that Lize will count, we can use the formula for an
arithmetic sequence. The general formula for the nth term of an arithmetic sequence is:
a_n = a_1 + (n - 1) * d
where a_n is the nth term, a_1 is the first term, n is the position number, and d is the
common difference between terms.
In this case, the first term (a_1) is 3, and the common difference (d) is 5 (since each
number is 5 more than the previous one).
Using the formula, we can substitute the values:
a_100 = 3 + (100 - 1) * 5
= 3 + 99 * 5
= 3 + 495
= 498
Therefore, the 100th number that Lize will count is 498.
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