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Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APMediumLevel 64
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If (a_n=7-3n), what is the (22)nd term of the AP?

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Answer and explanation

Correct answer: \(-59\)

Using the given direct formula \(a_n=7-3n\), substitute \(n=22\): \(a_{22}=7-3(22)=7-66=-59\). Hence, \(-59\) is correct. An answer such as \(-57\) can result from an error in multiplying \(3\times22\) or in subtraction. Exam tip: In a direct formula, substitute the term number for \(n\) and perform multiplication before subtraction.

Related tags

Arithmetic ProgressionNth TermDirect FormulaClass 10Sequence

Frequently asked questions

What is the correct answer to this question?

\(-59\)

Why is this the correct answer?

Using the given direct formula \(a_n=7-3n\), substitute \(n=22\): \(a_{22}=7-3(22)=7-66=-59\). Hence, \(-59\) is correct. An answer such as \(-57\) can result from an error in multiplying \(3\times22\) or in subtraction. Exam tip: In a direct formula, substitute the term number for \(n\) and perform multiplication before subtraction.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an 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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