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Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasy
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If a_n=6n+7, what is a_34?

Answer and explanation

Correct answer: 211

The sequence is given directly by the nth-term rule a_n=6n+7. To find the 34th term, substitute n=34: a_34=6(34)+7=204+7=211. Therefore option B is correct. The nearby alternatives result from arithmetic or substitution errors; for example, 6(34)=204, not 200 or 208, and the final addition must include the constant 7.

Related tags

Arithmetic ProgressionNth TermDirect FormulaFinding 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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