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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APMedium
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In an AP, a₆ = 38 and a₁₅ = 101. What is a₂₄?

Answer and explanation

Correct answer: 164

The 9 steps from the 6th to the 15th term increase the value by 101 − 38 = 63, so the common difference is 63 ÷ 9 = 7. From the 15th to the 24th term is another 9 steps; therefore, a₂₄ = 101 + 9 × 7 = 164.

Related tags

Arithmetic ProgressionsNth TermCommon DifferenceFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)Arithmetic Progressions ApMathematics
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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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