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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasy
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What is the (9)th term of the AP (20,17,14,11,\ldots)?

Answer and explanation

Correct answer: -4

In this AP, the first term is 20 and the common difference is \(d=17-20=-3\). Using \(a_n=a+(n-1)d\), \(a_9=20+(9-1)(-3)=20-24=-4\). The option -1 can result from an incorrect subtraction. Exam tip: always retain the negative sign of the common difference in a decreasing AP.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceClass 10 MathematicsSequenceFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (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. 8If (a=2), (d=5), what will be the (15)th term of the AP?
  9. 9Which is the (20)th term of the AP (3,8,13,18,\ldots)?
  10. 10In an AP, (a=9), (d=2). Find the (18)th term.
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