Polynomials

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Sequences


    1. 3462
    2. 3581
    3. 3471
    4. 4022

 

  • Correct Answer
    Choice C. 3471

Explanatory Answer

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Detailed Solution









We know that

-> for all n > 1

-> for all n > 1

->

So, in the above expression





(3 + 4 + 5 + … + 11) = 66 – 3 = 63

The expression simplifies as



The alternate method is to simplify as n3 + n2 + n + 1 and then use the formulae for Σn3, Σn2 and Σn and Σ1

Answer choice (c)



Correct Answer: 3471.



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