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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.ExpertLevel 63
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If (a_n) has common difference (-9) and (b_n=\frac{a_n}{3}+5), what is the common difference of (b_n)?

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Answer and explanation

Correct answer: (-3)

Multiplying by (\frac{1}{3}) changes the difference from (-9) to (-3), and adding (5) does not change it. In exams, separate the effects of addition and multiplication.

Related tags

ApTransformationScaled Difference

Frequently asked questions

What is the correct answer to this question?

(-3)

Why is this the correct answer?

Multiplying by (\frac{1}{3}) changes the difference from (-9) to (-3), and adding (5) does not change it. In exams, separate the effects of addition and multiplication.

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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