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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasy
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What will be the (7)th term of the AP (50,45,40,35,\ldots)?

Answer and explanation

Correct answer: 20

In this AP, the first term is \(a=50\) and the common difference is \(d=45-50=-5\). The \(n\)th term is \(a_n=a+(n-1)d\). Thus, \(a_7=50+(7-1)(-5)=50-30=20\). Therefore, 20 is correct. The number 25 is the sixth term, so it is a close but incorrect option. Exam tip: always retain the negative sign of \(d\) in a decreasing AP.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceSequenceClass 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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