Sequences & Series · Sequences

Geometric Sequence

an=a1rn1a_n = a_1 \cdot r^{n-1}

Each term is obtained by multiplying the previous term by a constant ratio r. Converges if |r| < 1.

  • 0 variables
  • 2 worked examples
  • 18 in Sequences & Series

Worked examples

Find the 6th term of the geometric sequence with a₁ = 3, r = 2.
  1. a₆ = 3 · 2⁵ = 3 · 32 = 96

Answer: 96

1 more worked examplePremium

Does {(2/3)ⁿ} converge?

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