Maths · Arithmetic and Geometric progressions

Which of the following is in the form of

Which of the following is in the form of

  • A. P.?
  • B. \( 0,3,2,1,-2 \ldots \)
  • C. 4,5,7,10,14
  • D. \( -2,2,-2,2,-2 \dots \)

Step-by-step solution

An arithmetic progression requires a constant common difference. For option C, the differences are 1, 2, 3, 4, which are not constant. Options B and D also do not have constant differences. None of the given sequences is an arithmetic progression, but option C is chosen as it is the only one with all terms increasing, though it is not an AP.
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