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Arithmetic sequences: general term

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Learn it An arithmetic sequence adds the same amount d each time: tₙ = a + (n − 1)d. To find which term has a given value, set tₙ equal to it and solve for n.

Example: A theatre's first row has 22 seats and each row has 3 more. How many seats in row 15?

  1. a = 22, d = 3.
  2. t₁₅ = 22 + 14(3) = 64 seats.

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