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KCET2017MathematicsBinomial Theorem

( 3+5+7+ ) to ( n ) terms is

Options

  1. A( n(n+2) )
  2. B( (n-2) )
  3. C( n² )
  4. D( (n+1)² )

Correct answer

A. ( n(n+2) )

Step-by-step solution

Given that, ( 3+5+7+ . n ) terms It is in A.P. with first term, ( a=3 ) and common difference, ( d=2 ). So, sum of first ( n ) terms of A.P. series is given by [ array l S_ n = n 2 [2 a+(n-1) d] = n 2 [2(3)+(n-1) 2] =n(n+2) array ]

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