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AP EAMCET2007MathematicsSequences and Series

If S_n=1^3+2^3+ +n^3 and T_n=1+2+ +n , then

Options

  1. AS_n=T_ n^3
  2. BS_n=T_ n^2
  3. CS_n=T_n^2
  4. DS_n=T_n^3

Correct answer

C. S_n=T_n^2

Step-by-step solution

Given, S_n=1^3+2^3+ +n^3= n^3 array rlrl & and & T_n & =1+2+ +n= n & & S_n & = n^3= [ n(n+1) 2 ]^2 & & = (n) ^2=T_n^2 & & S_n & =T_n^2 array

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