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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.MediumLevel 63
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In an arithmetic progression, (d=9) and the second term is (20). What is the first term?

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Answer and explanation

Correct answer: \(11\)

In an AP, the second term is \(a_2=a_1+d\). Therefore, \(a_1=a_2-d=20-9=11\). Hence, the first term is \(11\). The value \(20\) is the second term, not the first term. Exam tip: To find the first term from the second term, subtract the common difference.

Related tags

Arithmetic ProgressionCommon DifferenceFirst TermAp FormulasClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(11\)

Why is this the correct answer?

In an AP, the second term is \(a_2=a_1+d\). Therefore, \(a_1=a_2-d=20-9=11\). Hence, the first term is \(11\). The value \(20\) is the second term, not the first term. Exam tip: To find the first term from the second term, subtract the common difference.

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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