Adding up the Terms of a Sequence (HSC SSCE Mathematics Advanced): Quizzes

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Adding up the Terms of a Sequence
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What does SnS_n represent for a sequence?

The sum of the first nn terms

Which is another name for SnS_n?

The nnth partial sum

For the sequence 5,15,25,35,…5, 15, 25, 35, \ldots, what is S3S_3?

4545

How is each partial sum related to the previous one?

It includes all previous terms plus one new

What is the formula for finding TnT_n from partial sums when n≥2n \geq 2?

Tn=Sn−Sn−1T_n = S_n - S_{n-1}

If S3=12S_3 = 12 and S4=22S_4 = 22, what is T4T_4?

1010

What does ∑n=25n2\sum_{n=2}^{5} n^2 equal?

5454

In ∑n=610Tn\sum_{n=6}^{10} T_n, what does the 66 at the bottom indicate?

The starting value for nn

What is a series?

The sequence of partial sums

If Sn=n2S_n = n^2, what is TnT_n for n≥2n \geq 2?

2n−12n - 1

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