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Question

Complete the recursive formula of the arithmetic sequence -17, -8, 1, 10,... a(1)= a(n)=a(n-1)+

Answer

a(n) = a(n-1) + 9

  • Identify the common difference d by subtracting any term from the previous term. d = -8 - (-17) = 9.
  • State the recursive formula: a(n) = a(n-1) + d.
  • Substitute the values: a(n) = a(n-1) + 9.