Arithmetic Sequences (Grade 12 NSC Matric Mathematics): Quizzes

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Arithmetic Sequences
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What is an arithmetic sequence?

Pattern where same value is added each time

In the sequence 3, 0, -3, -6, -9, ..., what is the common difference dd?

d=−3d = -3

Using Tn=a+(n−1)dT_n = a + (n-1)d, find T5T_5 if a=2a = 2 and d=3d = 3.

T5=14T_5 = 14

How do you test if a sequence is arithmetic?

Check if consecutive differences are equal

What is the arithmetic mean between 7 and 17?

1212

What shape do arithmetic sequence terms form when plotted on a graph?

A straight line

What does the gradient of the line equal when graphing an arithmetic sequence?

The common difference dd

In the general term formula Tn=a+(n−1)dT_n = a + (n-1)d, what does aa represent?

The first term

For sequence -15, -11, -7, ..., 173 with Tn=4n−19T_n = 4n - 19, how many terms are there?

4848 terms

If T3=a+2dT_3 = a + 2d, what is the coefficient of dd in T4T_4?

33

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