Summation Notation (VCE SSCE Mathematical Methods): Flashcards

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Summation notation
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Practise the cards

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What summation notation provides

Compact & efficient way to express long sums

Alternative name for summation notation

Sigma notation

Greek letter used in summation notation

Σ\Sigma (sigma)

Position of lower limit in i=mnai\sum_{i=m}^{n} a_i

Below the sigma (i=mi=m)

Position of upper limit in i=mnai\sum_{i=m}^{n} a_i

Above the sigma (nn)

What aia_i represents in i=mnai\sum_{i=m}^{n} a_i

Expression defining pattern for each term

Role of index variable (e.g. ii or kk)

Takes on each integer value from lower to upper limit

Definition of expanded form

Writing out all individual terms being added together

Value of i=152i\sum_{i=1}^{5} 2^i

6262

12+22+32++3021^2 + 2^2 + 3^2 + \cdots + 30^2 in sigma notation

k=130k2\sum_{k=1}^{30} k^2

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