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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.Medium
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In the sequence (0,-4,-8,-12,\ldots), what are (a) and (d) respectively?

Answer and explanation

Correct answer: \(0, -4\)

In an AP, \(a\) is the first term, so \(a=0\). The common difference is \(d=a_2-a_1=-4-0=-4\). Hence, the correct pair is \(0,-4\). In option B, \(-4\) is the second term, not the first term. Exam tip: To find \(d\), subtract a term from the term immediately following it.

Related tags

Arithmetic ProgressionFirst TermCommon DifferenceNegative IntegersClass 10 MathematicsIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)
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10 more MCQs
  1. 1What is the common difference in the sequence 3, 7, 11, 15, …?
  2. 2In an arithmetic progression, how is the common difference (d) found?
  3. 3What is the common difference in (10,8,6,4,\ldots)?
  4. 4Which sequence is an arithmetic progression?
  5. 5What is the common difference of (6,6,6,6,\ldots)?
  6. 6What is the first term of the arithmetic progression (12,17,22,27,\ldots)?
  7. 7In the sequence (4,9,14,\Box,24,\ldots), what is the value of (\Box)?
  8. 8Which sequence is not an arithmetic progression?
  9. 9If the first term of an arithmetic progression is (a=5) and the common difference is (d=3), what is the second term?
  10. 10What is the common difference in (-3,1,5,9,\ldots)?
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