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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.ExpertLevel 62
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If (a_n=\alpha n+\beta), what will be the common difference of the sequence?

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Answer and explanation

Correct answer: (\alpha)

(a_{n+1}-a_n=\alpha), so the common difference is (\alpha). In exams, this is the key shortcut for a linear sequence.

Related tags

ApGeneral Linear FormCommon Difference

Frequently asked questions

What is the correct answer to this question?

(\alpha)

Why is this the correct answer?

(a_{n+1}-a_n=\alpha), so the common difference is (\alpha). In exams, this is the key shortcut for a linear sequence.

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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