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Question

Write an explicit formula for a,, the nth term of the sequence 14,16,18,….

Answer

a_n = 2n + 12

  • Identify the common difference d. A: The common difference is 2.
  • Write the explicit formula for a_n. A: a_n = a_1 + (n - 1)d, where a_1 is the first term in the sequence and d is the common difference.
  • Substitute the values into the formula. A: a_n = 14 + (n - 1)2.