Finite Arithmetic Series (Grade 12 NSC Matric Mathematics): Quizzes

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Finite Arithmetic Series
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What is the defining feature of an arithmetic sequence?

Constant difference between consecutive terms

What is the formula for the nth term of an arithmetic sequence?

Tn=a+(n−1)dT_n = a + (n - 1)d

What sum did Gauss calculate for all numbers from 1 to 100?

5050

Which formula should you use when you know aa, ll, and nn?

Sn=n2(a+l)S_n = \frac{n}{2}(a + l)

For the sequence 2, 9, 16, ... what is the common difference?

7

If S3=21S_3 = 21 and S2=12S_2 = 12, what is T3T_3?

9

Which formula uses the common difference dd?

Sn=n2[2a+(n−1)d]S_n = \frac{n}{2}[2a + (n - 1)d]

When solving for nn in a series, what must nn be?

A positive integer

What is the difference between a sequence and a series?

Sequence lists terms, series adds them

In Gauss's method, what does each pair of terms sum to for 1 to 100?

101

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