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Class 9MathematicsSequences and ProgressionsSequencesMedium
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If (a_n=3n^2+2), what is (a_4)?

Answer and explanation

Correct answer: 50

To find the fourth term, substitute \(n=4\) in the rule: \(a_4=3(4)^2+2=3\times16+2=50\). Hence, 50 is correct. The nearby distractor 48 results from stopping after \(3\times16\) and not adding 2. In exams, substitute the value first and then follow the order of operations: power, multiplication, and addition.

Related tags

SequencesNth TermQuadratic SequenceSubstitutionOrder Of OperationsSequences And ProgressionsMathematicsClass 9 Mcq
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10 more MCQs
  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)?
  7. 7What is the third term in (7,14,21,28,\ldots)?
  8. 8What is the next term of (30,27,24,21,\ldots)?
  9. 9The sequence (9,18,27,36,\ldots) consists of multiples of which number?
  10. 10What will be the next term of (100,90,80,70,\ldots)?
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