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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.MediumLevel 62
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If (a=20) and (d=-3), what is the third term of the arithmetic progression?

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Answer and explanation

Correct answer: 14

The nth term of an arithmetic progression is \(a_n=a+(n-1)d\). Therefore, \(a_3=20+(3-1)(-3)=20-6=14\). The value 17 is the second term, not the third. Exam tip: when \(d\) is negative, each successive term decreases.

Related tags

Arithmetic ProgressionCommon DifferenceNth TermClass 10 MathematicsThird Term

Frequently asked questions

What is the correct answer to this question?

14

Why is this the correct answer?

The nth term of an arithmetic progression is \(a_n=a+(n-1)d\). Therefore, \(a_3=20+(3-1)(-3)=20-6=14\). The value 17 is the second term, not the third. Exam tip: when \(d\) is negative, each successive term decreases.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..

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10 more MCQs
  1. 1What is the common difference in the sequence 3, 7, 11, 15, …?
  2. 2In an arithmetic progression, how is the common difference (d) found?
  3. 3What is the common difference in (10,8,6,4,\ldots)?
  4. 4Which sequence is an arithmetic progression?
  5. 5What is the common difference of (6,6,6,6,\ldots)?
  6. 6What is the first term of the arithmetic progression (12,17,22,27,\ldots)?
  7. 7In the sequence (4,9,14,\Box,24,\ldots), what is the value of (\Box)?
  8. 8Which sequence is not an arithmetic progression?
  9. 9If the first term of an arithmetic progression is (a=5) and the common difference is (d=3), what is the second term?
  10. 10What is the common difference in (-3,1,5,9,\ldots)?
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