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@ Ashwin Kulkarni 

actually given answer is 2.32  .....

Answer 1

Answer is

1 + 5 + 5² + 5³ ...... + 5^logn

^=> 1(5^logn+1 -1)/4

analyze the term 5^logn+1 => 5.5^logn => 5.5^{$\frac{logn}{log5}*log5$} => 5.5^{$\log_{5}^{}\textrm{n}$ * log5} => 5.n^log5  => 5.n^2.33

Hence ans => 1(5.n^2.33  -1)/4 = O(n^2.33 )