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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APExpert
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In an AP, a_10 = 4a_4 + 6 and a_4 = 14. What is a_22?

Answer and explanation

Correct answer: 158

First, a_10 = 4 × 14 + 6 = 62. The 10th and 4th terms are six positions apart, so 62 − 14 = 6d, giving d = 8. Thus a_22 = a_10 + 12d = 62 + 12 × 8 = 158.

Related tags

Arithmetic-ProgressionTerm-RelationsFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)Arithmetic Progressions ApMathematicsClass 10 Mcq
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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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