An Introduction to Arithmetic Sequences (VCE SSCE General Mathematics): Quizzes

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An Introduction to Arithmetic Sequences
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What defines an arithmetic sequence?

Adding/subtracting same fixed amount

Find the common difference DD for the sequence 30,25,20,30, 25, 20, \ldots

D=5D = -5

Is the sequence 2,6,18,54,2, 6, 18, 54, \ldots arithmetic?

No, differences are not constant

For the sequence 2,5,8,2, 5, 8, \ldots with D=3D = 3, what is the next term?

1111

What does a negative common difference indicate?

The sequence is decreasing

Which type of sequence is 200,300,400,200, 300, 400, \ldots?

Ascending

What shape do arithmetic sequences form when graphed?

Points along a straight line

When D>0D > 0, what type of slope does the graph have?

Positive slope (upward)

In sequence 21,28,35,42,21, 28, 35, 42, \ldots, is it arithmetic?

Yes, constant difference of 77

For sequence 9,7,5,9, 7, 5, \ldots with D=2D = -2, what slope does its graph have?

Negative slope (downward)

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