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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.Medium
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What is the missing value in (6,10,14,\Box,22,\ldots)?

Answer and explanation

Correct answer: 18

This is an arithmetic progression because the differences 10-6 and 14-10 are both 4. Therefore, the term after 14 is 14+4=18. Checking further, 18+4=22. Option 16 would give a difference of 2 from 14, so it is not correct. Exam tip: In an AP missing-term question, verify that the common difference is the same on both sides of the blank.

Related tags

Arithmetic ProgressionCommon DifferenceMissing TermClass 10 MathematicsSequenceIntroduction 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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