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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasy
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If (a=40) and (d=-6), what is the (5)th term of the AP?

Answer and explanation

Correct answer: 16

The nth term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_5=40+(5-1)(-6)=40-24=16\). Hence, the correct answer is 16. Getting 20 would mean subtracting the common difference only three times. Exam tip: always use \((n-1)\) common differences for the nth term.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceNegative Common DifferenceClass 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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