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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APMedium
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If (a_n=50-4n), which term of the AP will be (-10)?

Answer and explanation

Correct answer: 15th term

Given \(a_n=50-4n\). For the term whose value is \(-10\), set \(50-4n=-10\). Thus, \(4n=60\), so \(n=15\). Therefore, \(-10\) is the 15th term of the AP. The 14th term is \(50-4(14)=-6\), so it is not correct. Exam tip: To find a term number, equate the given term value to \(a_n\) and solve for \(n\).

Related tags

Arithmetic ProgressionNth TermLinear SequenceClass 10 MathematicsTerm NumberFinding 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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