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  1. Subjects
  2. /
  3. Mathematics
  4. /
  5. Grade 12 Mathematics Theory
  6. /
  7. Sequences and series
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  9. Sigma notation and series
Grade 12 · Theory

Sigma notation and series

Sequences and series · about 3 min

Educational overview for Sigma notation and seriesVisual overview: Sigma notation and series
1 MIN READ
2 study sections · pause after each one and recall the key idea

Sigma notation is compact shorthand for a sum, and reading it correctly is half the battle.

Key points
  • The number below Σ is the starting value of the counter; the number above is where it stops.
  • Substitute the first few values to see the pattern and identify a, d or r.
  • The number of terms = (top − bottom) + 1.
  • Choose the arithmetic or geometric sum formula once you know the type.
Key terms
  • Sigma (Σ) — notation meaning "the sum of".
EXAM TIP

always expand the first two or three terms — it instantly reveals a, and whether the series is arithmetic or geometric.


Previous

Geometric sequences

Next

Infinite series