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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APHard
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In the AP (14,23,32,\ldots), what is the greatest term between (300) and (350)?

Answer and explanation

Correct answer: 347

Here the first term is 14 and the common difference is 9, so the nth term is \(a_n=14+9(n-1)\). On putting \(a_n=347\), we get \(14+9(n-1)=347\), which gives \(n=38\). Thus, 347 is a term of the AP and is less than 350. The next term is \(347+9=356\), which is greater than 350. Therefore, 347 is the greatest required term. Exam tip: After finding a term near an upper limit, always check the next term as well.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceAp RangeClass 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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