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Rahul writes four numbers in AP as a − 2d, a − d, a + d, a + 2d. What is wrong with his choice?

Class 10Properties and Selection of AP TermsAlgebra — Sequences
  • ANothing; the choice is correct
  • BFour numbers can never be in AP
  • CThe gaps are d, 2d, d, so they are not in AP
  • DHe should write a + 4d last

Step-by-Step Solution

Differences: d, (a + d) − (a − d) = 2d, then d. They are unequal, so the list is not an AP. The correct symmetric choice is a − 3d, a − d, a + d, a + 3d.
Answer: C) The gaps are d, 2d, d, so they are not in AP

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