Answer:
To find the sum of an arithmetic series, we need to use the formula:
S = (n/2)(a + l)
where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
First, we need to find the last term of the series. To do this, we need to find the 36th term.
a = 13 (the first term)
d = 6 (the common difference between terms)
n = 36 (the number of terms we want to find)
Using the formula for the nth term of an arithmetic series, we can find the 36th term:
an = a + (n-1)d
= 13 + (36-1)6
= 13 + 210
= 223
Now we can use the formula for the sum of an arithmetic series:
S = (n/2)(a + l)
= (36/2)(13 + 223)
= 18(236)
= 4248
To the nearest integer, the sum of the first 36 terms of this series is 4248.