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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasy
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In an auditorium, the first row has 18 seats and each succeeding row has 3 more seats than the previous row. Which calculation correctly finds the number of seats in the 12th row?

Answer and explanation

Correct answer: \(18+11\times3=51\)

The first row is term 1, so the increase of 3 occurs only 11 times before term 12: \(18+11\times3=51\). Using \(18+12\times3\) counts one extra increase. In exams, always use \(n-1\).

Related tags

Arithmetic ProgressionNth TermApplication QuestionAp FormulaClass 10 MathematicsFinding 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. 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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