Question Number 3148 by Filup last updated on 06/Dec/15
![Solve Σ_(k=1) ^n (t^k /k^t ) for n=10, t=2](https://www.tinkutara.com/question/Q3148.png)
$${Solve}\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{t}^{{k}} }{{k}^{{t}} }\:{for}\:{n}=\mathrm{10},\:{t}=\mathrm{2} \\ $$
Commented by prakash jain last updated on 06/Dec/15
![(2^1 /1^2 )+(2^2 /2^2 )+(2^3 /3^2 )+(2^4 /4^2 )+(2^5 /5^2 )+(2^6 /6^2 )+(2^7 /7^2 )+(2^8 /8^2 )+(2^9 /9^2 )+(2^(10) /(10^2 ))](https://www.tinkutara.com/question/Q3153.png)
$$\frac{\mathrm{2}^{\mathrm{1}} }{\mathrm{1}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{2}} }{\mathrm{2}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{3}} }{\mathrm{3}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{4}} }{\mathrm{4}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{5}} }{\mathrm{5}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{6}} }{\mathrm{6}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{7}} }{\mathrm{7}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{8}} }{\mathrm{8}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{9}} }{\mathrm{9}^{\mathrm{2}} }+\frac{\mathrm{2}^{\mathrm{10}} }{\mathrm{10}^{\mathrm{2}} } \\ $$