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Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?

Correct answer: D. 7, 9, 11

  • A. 9, 11, 13
  • B. 11, 13, 15
  • C. 13, 15, 17
  • D. 7, 9, 11
  • E. None of these

Explanation

Let the three consecutive odd integers be x, x + 2 and x + 4. Their condition gives (x + 2) + (x + 4) = x + 13, so x = 7 and the integers are 7, 9 and 11. A likely choice is option a, 9, 11, 13, from overlooking that the first integer must be included separately in the comparison.

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Sequences describe ordered terms formed by a pattern, while series represent the sum of those terms. Questions cover arithmetic and geometric sequences, their nth terms, common difference or ratio, finite sums, and applications, with the sequence itself kept distinct from the corresponding series.

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