Polynomials

You are here: Home  CAT Questionbank   CAT Quant  Polynomials.  Question 16

Sequences


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

 

  • Correct Answer
    Choice C. 3471

Explanatory Answer

Click to watch video solution

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.



Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.


Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play