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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APMedium
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If the (10)th term of an AP is (41) and the (20)th term is (81), what is its common difference?

Answer and explanation

Correct answer: (4)

The difference of terms is (81-41=40) and the difference of positions is (10), so (d=4). Use (d=\frac{\text{difference of terms}}{\text{difference of positions}}).

Related tags

ApCommon-DifferenceNth-TermClass10Finding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)Arithmetic 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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