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Class 9MathematicsSequences and ProgressionsSequencesExpert
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If (a_n=2^n-n), what will be the value of (a_8)?

Answer and explanation

Correct answer: 248

Given \(a_n=2^n-n\), substitute \(n=8\): \(a_8=2^8-8=256-8=248\). Therefore, 248 is the correct option. A value such as 240 may result from evaluating the power incorrectly or subtracting at the wrong step. Exam tip: calculate \(2^8=256\) first, then subtract 8.

Related tags

SequencesNth TermExponentsPowersClass 9 MathematicsSequences And ProgressionsMathematicsClass 9 Mcq
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  1. 1What is the next term of the sequence (2,4,6,8,\ldots)?
  2. 2What is the fifth term of the sequence (5,10,15,20,\ldots)?
  3. 3Which is the fourth term in the sequence (1,3,5,7,\ldots)?
  4. 4What will be the next term of (10,20,30,40,\ldots)?
  5. 5What is the next term of (12,11,10,9,\ldots)?
  6. 6What is the sixth term of (4,8,12,16,\ldots)?
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  8. 8What is the next term of (30,27,24,21,\ldots)?
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