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Class 10MathematicsArithmetic Progressions (AP)Introduction to APs and common difference.Expert
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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)?

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 DifferenceIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)Arithmetic Progressions ApMathematics
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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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