n

$\overline{P_n}$

$\overline{p_n}$

$\sqrt[n]{\overline{P_n}}$

$\sqrt[n]{\overline{p_n}}$

1

1.00000

1.00000

1.00000

1.00000

2

2.00000

1.00000

1.41421

1.00000

3

1.00000

1.00000

1.00000

1.00000

4

1.00000

1.00000

1.00000

1.00000

5

0.77778

0.66667

0.95098

0.92211

6

0.70000

0.66667

0.94229

0.93466

7

0.60417

0.54546

0.93054

0.91705

8

0.53913

0.52174

0.92568

0.92190

9

0.46853

0.42553

0.91921

0.90943

10

0.41725

0.39623

0.91630

0.91158

50

0.00347

0.00322

0.89292

0.89159

100

$8.995140\times {10}^{-6}$

$8.364300\times {10}^{-6}$

0.89031

0.88966

150

$2.333520\times {10}^{-8}$

$2.171050\times {10}^{-8}$

0.88945

0.88902

200

$6.055720\times {10}^{-11}$

$5.635600\times {10}^{-11}$

0.88902

0.88870

250

$1.571730\times {10}^{-13}$

$1.462930\times {10}^{-13}$

0.88876

0.88851

300

$4.079620\times {10}^{-16}$

$3.797620\times {10}^{-16}$

0.88859

0.88838

350

$1.058950\times {10}^{-18}$

$9.858330\times {10}^{-18}$

0.88847

0.88829

400

$2.748820\times {10}^{-21}$

$2.559160\times {10}^{-21}$

0.88838

0.88822

450

$7.135440\times {10}^{-24}$

$6.643430\times {10}^{-24}$

0.88831

0.88817

500

$1.852260\times {10}^{-26}$

$1.724600\times {10}^{-26}$

0.88825

0.88812