Quadratic Sequences (Grade 11 NSC Matric Mathematics): Quizzes

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Quadratic Sequences
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What is the key feature that identifies a quadratic sequence?

Constant second difference

If the second difference in a quadratic sequence is 6, what is the value of aa?

a=3a = 3

What is the general form of a quadratic sequence?

Tn=an2+bn+cT_n = an^2 + bn + c

How do you calculate first differences in a sequence?

Subtract each term from the next term

A sequence has first differences 5, 7, 9, 11. Is it quadratic?

Yes, second differences are constant (2)

What shape do quadratic sequences form when plotted on a graph?

Parabolic curve

If a<0a < 0 in Tn=an2+bn+cT_n = an^2 + bn + c, which way does the parabola open?

Downward

How many matches are needed for 5 teams in a round-robin tournament?

10 matches

To find aa, bb, and cc in Tn=an2+bn+cT_n = an^2 + bn + c, what should you use?

First three terms for simultaneous eqns

For sequence 5, 12, 23, 38 with a=2a=2 and b=1b=1, what is cc?

c=2c = 2

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