Summary (Grade 12 NSC Matric Mathematics): Quizzes

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What defines an arithmetic sequence?

Constant difference between terms

What is the general formula for the nnth term of an arithmetic sequence?

Tn=a+(n−1)dT_n = a + (n - 1)d

When an arithmetic sequence is plotted on a graph, what shape do the points form?

A straight line

How do you identify a quadratic sequence?

Second differences are constant

What is the formula for the common ratio in a geometric sequence?

r=TnTn−1r = \frac{T_n}{T_{n-1}}

What is the general formula for the nnth term of a geometric sequence?

Tn=arn−1T_n = ar^{n-1}

In sigma notation ∑k=1nTk\sum_{k=1}^{n} T_k, what does kk represent?

The index variable

Which arithmetic series formula uses the first and last terms?

Sn=n2[a+l]S_n = \frac{n}{2}[a + l]

Which geometric series formula should be used when r>1r > 1?

Sn=a(rn−1)r−1S_n = \frac{a(r^n - 1)}{r - 1}

What condition must be met for a geometric series to have a sum to infinity?

−1<r<1-1 < r < 1

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