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When three unknown numbers in AP are to be found, the most convenient way to write them is:

Class 10Properties and Selection of AP TermsAlgebra — Sequences
  • A
  • Ba, a + d, a + 2d
  • Ca − 1, a, a + 1
  • Da − d, a, a + d

Step-by-Step Solution

With , a, the d's cancel when the numbers are added (sum = ), which finds a immediately. a, is also an AP but makes the working longer.
Answer: D) a − d, a, a + d

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