1.      .

2.      .

3.      .

5.      .

7.      .

9.      .

10.  1¹⁰ + 3¹⁰ + 5¹⁰ + ... + (2n-1)¹⁰ = (1024/11)n¹¹ - (1280/3)n⁹ + 896n⁷ - 992n⁵ + 508n³ - (2555/33)n .

11.  1¹¹ + 3¹¹ + 5¹¹ + ... + (2n-1)¹¹ = (512/3)n¹² - (2816/3)n¹⁰ + 2464n⁸  - (10912/3)n⁶ + 2794n⁴ - (2555/3)n² .

12.  1¹² + 3¹² + 5¹² + ... + (2n-1)¹² = (4096/13)n¹³ - (2048)n¹¹ + (19712/3)n⁹ - (87296/7)n⁷ + (67056/5)n⁵ - (20440/3)n³ + (1414477/1365)n .

13.  1¹³ + 3¹³ + 5¹³ + ... + (2n-1)¹³ =(4096/7)n¹⁴ - (13312/3)n¹² + (256256/15)n¹⁰ - (283712/7)n⁸ + (290576/5)n⁶ - (132860/3)n⁴ + (1414477/105)n² .

14.  1¹⁴ + 3¹⁴ + 5¹⁴ + ... + (2n-1)¹⁴ = (16384/15)n¹⁵ - (28672/3)n¹³ + (652288/15)n¹¹ - (1134848/9)n⁹ + (1162304/5)n⁷ - (744016/3)n⁵ + (5657908/45)n³ - (57337/3)n.

15.  1¹⁵ + 3¹⁵ + 5¹⁵ + ... + (2n-1)¹⁵ = 2048n¹⁶ - 20480n¹⁴ + (326144/3)n¹² - (1134848/3)n¹⁰+ 871728n⁸ - (3720080/3)n⁶ + (2828954/3)n⁴ - 286685n² .

Other finite series:

• Finite Power Sum
• Finite Alternative Odd Power Sum
• Some Finite Series Found in Closed-Form
• Repeated Power Sum
• Sum Of Partial Factorials