Final answer:
The sum of the series ∑ n=1 to 60 3n is 18360.
Step-by-step explanation:
The series that we are given is ∑ n=1 to 60 3n. This means that we need to find the sum of the first 60 terms of the sequence 3n. To find the sum of an arithmetic sequence, we can use the formula Sn = n/2(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term.
In this case, the first term a is 3(1) = 3 and the last term l is 3(60) = 180. Plugging these values into the formula, we get Sn = 60/2(3 + 180) = 60/2(183) = 60/2(183) = 18360.
Therefore, the sum of the series ∑ n=1 to 60 3n is 18360.