Sigma Notation (AQA A-Level Mathematics): Quizzes

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Sigma Notation
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What does the Greek letter Σ\Sigma (capital sigma) represent in sigma notation?

Summation

What are the numbers above and below the sigma symbol called?

Limits

Evaluate ∑n=14(2n+1)\sum_{n=1}^{4} (2n + 1)

24

Find ∑n=142\sum_{n=1}^{4} 2

8

In ∑k=mnak\sum_{k=m}^{n} a_k, what is kk called?

Index of summation

In ∑k=mnak\sum_{k=m}^{n} a_k, what is aka_k called?

General term

What does ∑k=15k\sum_{k=1}^{5} k equal?

15

According to linearity, ∑k=mnc⋅ak\sum_{k=m}^{n} c \cdot a_k equals what, where cc is constant?

c⋅∑k=mnakc \cdot \sum_{k=m}^{n} a_k

What does ∑k=14k2\sum_{k=1}^{4} k^2 equal?

30

Evaluate ∑k=16(2k+1)\sum_{k=1}^{6} (2k + 1)

48

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General Binomial Expansion

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Modelling with Sequences & Series

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