Precalculus

How to solve

Each term adds the same common difference d, so the nth term takes n − 1 steps from the start.

Steps

  1. Find d by subtracting consecutive terms.
  2. Count the steps: n − 1.
  3. aₙ = a₁ + (n − 1)d.

Example

Sequence 5, 9, 13, …; find the 12th term.

  1. d = 4.
  2. a₁₂ = 5 + 11 · 4 = 49.

Answer: 49

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