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.

Question

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.

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