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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.Expert
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In an AP, (a_3-a_1=14). What is the common difference?

Answer and explanation

Correct answer: 7

In an AP, \(a_3=a_1+2d\). Therefore, \(a_3-a_1=2d=14\), so \(d=7\). The value \(-7\) would apply only if the given difference were \(-14\). Exam tip: use \(a_m-a_n=(m-n)d\) and carefully count the difference between the term numbers.

Related tags

Arithmetic ProgressionCommon DifferenceAp TermsSequence MathematicsClass 10Introduction 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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