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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APMedium
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If (a_n=7-2n), which term will be (-35)?

Answer and explanation

Correct answer: 21st term

Given \(a_n=7-2n\), set the nth term equal to \(-35\): \(-35=7-2n\). Thus, \(-42=-2n\), so \(n=21\). Hence, \(-35\) is the 21st term of the AP. The 20th term is \(7-2(20)=-33\), so option C is not correct. Exam tip: To find the term number for a given value, equate that 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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