Final answer:
To evaluate the given series Σ_{n=0} {1}{5^{n}}, substitute the values of n and calculate the sum. The value of the series is approximately 1.248.
Step-by-step explanation:
To evaluate the given series Σ_{n=0} {1}{5^{n}}, we need to substitute the values of n and calculate the sum. The series starts with n=0 and continues till the given limit. Let's evaluate each term of the series:
When n = 0, the term is 1/5^0 = 1.
When n = 1, the term is 1/5^1 = 1/5.
When n = 2, the term is 1/5^2 = 1/25.
When n = 3, the term is 1/5^3 = 1/125.
Now, let's add all the terms together: 1 + 1/5 + 1/25 + 1/125 = 1.248.
Therefore, the value of Σ_{n=0} {1}{5^{n}} is approximately 1.248.