Find the sum of the first 10 terms of the arithmetic sequence: 5, 9, 13, 17, ...

To find the sum of the first 10 terms of an arithmetic sequence, we can use the formula for the sum of an arithmetic series:

S_n = n/2 * (a_1 + a_n)

where: S_n is the sum of the first n terms, n is the number of terms, a_1 is the first term, and a_n is the nth term.

In this case, n = 10, a_1 = 5, and we need to find a_10.

The nth term of an arithmetic sequence can be found using the formula:

a_n = a_1 + (n - 1) * d

where d is the common difference. In this case, d = 9 - 5 = 4.

So, a_10 = 5 + (10 - 1) * 4 = 5 + 36 = 41.

Now we can find S_10:

S_10 = 10/2 * (5 + 41) = 5 * 46 = 230.

So, the sum of the first 10 terms of the arithmetic sequence is 230.