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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.Easy
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In the sequence (5,11,17,\Box,29,\ldots), what is the value of (\Box)?

Answer and explanation

Correct answer: 23

This is an arithmetic progression with common difference \(11-5=6\). Therefore, the missing term is \(17+6=23\). Options 21 and 22 do not maintain a difference of 6 between consecutive terms. In an exam, find the common difference from two consecutive terms and add it to the preceding term.

Related tags

Arithmetic-ProgressionCommon-DifferenceMissing-TermClass10Introduction 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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