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Four numbers in AP add up to 32, and the product of the first and last is to the product of the two middle ones as 7 : 15. Find the numbers.

Class 10Properties and Selection of AP TermsAlgebra — Sequences
  • A5, 7, 9, 11
  • B4, 6, 10, 12
  • C−1, 5, 11, 17
  • D2, 6, 10, 14

Step-by-Step Solution

Take gives , so . Numbers: 2, 6, 10, 14 (28 : 60 = 7 : 15).
Answer: D) 2, 6, 10, 14

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