Calculate sums and test convergence of arithmetic and geometric series
Arithmetic Series Sum: Sₙ = n/2 · (a₁ + aₙ) or Sₙ = n/2 · (2a₁ + (n−1)d)
Sum of Arithmetic Series
Geometric Series Sum: Sₙ = a₁·(1−rⁿ)/(1−r) for r ≠ 1 | Sₙ = n·a₁ for r = 1
Sum of Geometric Series
Infinite Geometric Series: S∞ = a₁ / (1−r) only if |r| < 1 (converges) If |r| ≥ 1 the series diverges (no finite sum)
Sum of Infinite Geometric Series
AMZ GROUP
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A dedicated student tech team from Lebanese French University, IT Department — building tools that make learning beautiful.
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