Series (Grade 12 NSC Matric Mathematics): Flashcards

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Definition of series

Sum of terms in a sequence

Meaning of SnS_n

Sum of first nn terms of a sequence

Definition of finite series

Sum of specific, limited number of terms

Symbol for sum to infinity

S∞S_\infty

Condition for geometric series sum to infinity

∣r∣<1|r| < 1

What Σ\Sigma (sigma) represents

Summation

Index in ∑i=mnTi\sum_{i=m}^{n} T_i

ii (variable that changes)

Number of terms in ∑i=mn\sum_{i=m}^{n}

n−m+1n - m + 1

Arithmetic series SnS_n formula

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

Geometric sum to infinity formula

S∞=a1−rS_\infty = \frac{a}{1-r} where ∣r∣<1|r| < 1

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