Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

done AIEEE Solved Paper-2004 Total Questions - 2

• question_answer1) Let\[S(K)=1+3+5+...+(2K-1)=3+{{K}^{2}}.\]Then, which of the following is true?
  A)
  S(1) is correct
  done clear
  B)
  \[S(K)\Rightarrow S(K+1)\]
  done clear
  C)
  \[S(K)S(K+1)\]
  done clear
  D)
  Principle of mathematical induction can be used to prove the formula
  done clear
  View Answer play_arrow

• question_answer2) If\[{{S}_{n}}=\sum\limits_{r=0}^{n}{\frac{1}{^{n}{{C}_{r}}}}\]and\[{{t}_{n}}=\sum\limits_{r=0}^{n}{\frac{r}{^{n}{{C}_{r}}}}\]then\[\frac{{{t}_{n}}}{{{S}_{n}}}\]is equal to
  A)
  \[\frac{n}{2}\]                  
  done clear
  B)
                         \[\frac{n}{2}-1\]              
  done clear
  C)
         \[n-1\]
  done clear
  D)
         \[\frac{2n-1}{2}\]
  done clear
  View Answer play_arrow