How to calculate below sum series ?

Question

Comments

$(\frac{1}{n^{\frac{1}{2}}}) + (\frac{1}{n^{\frac{1}{2}}}) ^ 2 +  (\frac{1}{n^{\frac{1}{2}}}) ^ 3 +....+(\frac{1}{n^{\frac{1}{2}}}) ^ k $

let assume r=$(\frac{1}{n^{\frac{1}{2}}})$  ----> series turning up into G.P. ===> easily solve

---

Here n will be squared again so we can't write it this way , we just need to square 1/2^k .

---

my sincere apologies...

---

IS the answer 1?