Download the app

Special Series in Sequences and Series

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
Question

For xR,let x denote the greatest integer  x  , then the sum of the series 13+131100+132100+.......+1399100is

Moderate
Solution

We know that

x+x+1n+x+2n+........+x+n1n=nx

and x=x1

=11311.3+1100113+2100+........113+99100=10013100=10033=133


Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace


Similar Questions

The sum of the first n  terms of the series

12+2.22+32+2.42+52+2.62+..........  is n(n+1)22,  when n  is even. When n  is odd the sum is


whats app icon
phone icon