Compute the value of:
\(\dfrac{1}{5} + \dfrac{3}{25} + \dfrac{7}{125} + \dfrac{15}{625} + \dfrac{31}{3125} + \cdots.\)
sum of a geometric series is equal to a/(1-r), where a is the first term and r is the common ratio. In this case, the sum is equal to
1/5 / (1-(3/5)) = 1/(2/5) = 5/2
he or she tried
be nicer
Actually, I identify as NON BINARY. STOP ASSUMING MY GENDER.
sumfor(n, 1, 10000, (2^n - 1) / 5^n)==5 / 12