Sequences & Series · Sequences

Arithmetic Sequence

an=a1+(n1)da_n = a_1 + (n-1)d

Each term is obtained by adding a constant difference d to the previous term. Always diverges (unless d = 0).

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

Worked examples

Find the 10th term of 3, 7, 11, 15, ...
  1. a₁ = 3, d = 4. a₁₀ = 3 + 9(4) = 39

Answer: 39

1 more worked examplePremium

Find d if a₁ = 5 and a₅ = 17.

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Practice

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