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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APHard
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The nth term of an arithmetic progression is \(a_n=12-4n\). Which statement correctly describes this AP?

Answer and explanation

Correct answer: First term 8 and common difference \(-4\)

Putting \(n=1\) gives \(a_1=12-4=8\). The coefficient of \(n\) is the common difference, so \(d=-4\); hence the AP decreases. Do not mistake the constant 12 for the first term; substitute \(n=1\).

Related tags

Arithmetic ProgressionNth TermCommon DifferenceFirst TermAp FormulaClass 10 MathematicsFinding The $N$Th Term Of An ApFinding The N Th Term Of An Ap
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10 more MCQs
  1. 1What is the fourth term in (14,18,22,26,\ldots)?
  2. 2What will be the fifth term in (2,7,12,17,\ldots)?
  3. 3What is the fourth term in the sequence (6,12,18,24,\ldots)?
  4. 4What is the third term in the sequence (9,7,5,3,\ldots)?
  5. 5A plant grows (2) cm every day. The heights are (12,14,16,18,\ldots). What is the height on the fourth day?
  6. 6In an AP, first term (a=4) and common difference (d=3). What is the (10)th term?
  7. 7Find the (12)th term of the AP (7,11,15,19,\ldots).
  8. 8What is the (9)th term of the AP (20,17,14,11,\ldots)?
  9. 9If (a=2), (d=5), what will be the (15)th term of the AP?
  10. 10Which is the (20)th term of the AP (3,8,13,18,\ldots)?
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