Precalculus

How to solve

Each term multiplies by the same ratio r, so the nth term applies r a total of n − 1 times.

Steps

  1. Find r by dividing consecutive terms.
  2. Raise r to the (n − 1) power.
  3. Multiply by the first term.

Example

Sequence 2, 6, 18, …; find the 5th term.

  1. r = 3.
  2. a₅ = 2 · 3⁴ = 162.

Answer: 162

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