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Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APHard
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Which option correctly identifies the arithmetic progression (AP) whose nth term is \(a_n=7-3n\)?

Answer and explanation

Correct answer: First term 4 and common difference \(-3\)

Putting \(n=1\), we get \(a_1=7-3=4\), so the first term is 4. The coefficient of \(n\) gives common difference \(-3\). Option A incorrectly treats 7 as the first term. Exam tip: find \(a_1\) first, then check the coefficient of \(n\).

Related tags

Arithmetic ProgressionNth TermCommon DifferenceSequence IdentificationClass 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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