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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APMedium
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The (14)th term of an AP is (92) and (d=7). What is (a_1)?

Answer and explanation

Correct answer: \(1\)

For an AP, \(a_n=a_1+(n-1)d\). Thus, \(92=a_1+(14-1)\times7=a_1+91\), so \(a_1=1\). Option \(85\) would result from subtracting \(d\) only once, but moving from the 14th term to the first term requires subtracting \(13d\). Exam tip: always use \(n-1\) in the formula for the \(n\)th term.

Related tags

Arithmetic ProgressionNth TermFirst TermCommon 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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