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Class 9MathematicsSequences and ProgressionsExplicit or general ruleMedium
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If (a_n=2^n+n), what is the value of (a_4)?

Answer and explanation

Correct answer: 20

Substitute \(n=4\) in the general term: \(a_4=2^4+4=16+4=20\). Therefore, 20 is the correct option. A value such as 18 can result from an incorrect addition after evaluating \(2^4\). Exam tip: evaluate the exponent first, then perform the remaining operations.

Related tags

Sequences And ProgressionsExplicit FormulaGeneral TermExponentsClass 9 MathematicsExplicit Or General RuleMathematicsClass 9 Mcq
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10 more MCQs
  1. 1For the sequence 2, 5, 10, 17, 26, ..., the nth term is a_n = n² + 1. What is the value of a_12 − a_10?
  2. 2For the sequence 6, 14, 26, 42, ..., a_n = 2n² + 2n + 2. What is the value of a_15 - a_13?
  3. 3If a_n = (-1)^n(n + 1), what will be the value of a_7 + a_8?
  4. 4What will be the next term in the sequence (1, 2, 6, 24, 120, …)?
  5. 5If a_n = n(n + 3), which term is 130?
  6. 6If a_n = 5n + (−1)^n, what will be the value of a_10 − a_9?
  7. 7If a_n = 4n^2 + 2n - 3, what will be the value of a_11?
  8. 8If a_n = (-1)^(n+1)(2n+3), what will be the value of a_8 + a_9?
  9. 9If a_n = n^2 + 6n + 5, which term is 252?
  10. 10What is the general term of the sequence (3, 6, 9, 12, …)?
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