Sum-the-series-2-1-40-1-20-1-10-n-

Question Number 95765 by I want to learn more last updated on 27/May/20

Sum the series :

2 (\frac{1}{40} + \frac{1}{20} + \frac{1}{10} + \dots + n)

Commented by prakash jain last updated on 27/May/20

\frac{1}{40} + \frac{1}{20} + \frac{1}{10} + \frac{1}{5} + \frac{2}{5} + \frac{4}{5} + . .)

You will never reach an integer .

There are infinite way to interpret

the given sequence . So you need

to specify formula for term .

Commented by I want to learn more last updated on 27/May/20

Show any way sir

Commented by prakash jain last updated on 27/May/20

one way

put all midlle terms 0

sum = (n + \frac{1}{40} + \frac{1}{20} + \frac{1}{10}) \times 2