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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.Easy
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Which term is not given in the arithmetic progression (18,21,24,27,\ldots)?

Answer and explanation

Correct answer: 30

The explicitly listed terms are 18, 21, 24 and 27. The common difference is \(21-18=3\), so the next term would be \(27+3=30\). Therefore, 30 is a term of the AP but is not among the terms given in the question. Exam tip: distinguish the terms already listed from the terms that can be generated next.

Related tags

Arithmetic ProgressionCommon DifferenceGiven TermsClass 10Introduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)Arithmetic 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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