cmi-entrance 2011 QB2

cmi-entrance · India · ugmath 7 marks Binomial Theorem (positive integer n) Find the Largest Term or Coefficient in a Binomial Expansion
Show that the power of $x$ with the largest coefficient in the polynomial $\left( 1 + \frac { 2 x } { 3 } \right) ^ { 20 }$ is 8 , i.e., if we write the given polynomial as $\sum _ { i } a _ { i } x ^ { i }$ then the largest coefficient $a _ { i }$ is $a _ { 8 }$. 
Show that the power of $x$ with the largest coefficient in the polynomial $\left( 1 + \frac { 2 x } { 3 } \right) ^ { 20 }$ is 8 , i.e., if we write the given polynomial as $\sum _ { i } a _ { i } x ^ { i }$ then the largest coefficient $a _ { i }$ is $a _ { 8 }$.
Paper Questions
QA1 QA2 QA3 QA4 QA5 QA6 QA7 QB1 QB2 QB3 QB4 QB5 QB6 QB7 QB8 QB9 QC1 QC2 QC3