Final answer:
The sum of the terms in the given sequence is 35. The general formula for an arithmetic sequence is an = a1 + (n-1)d.
Step-by-step explanation:
The sum of the terms in the sequence 1, 4, 7, 10, 13 can be found by using the formula for the sum of an arithmetic sequence. The formula is: Sn = (n/2) * (2a + (n-1)d), where Sn is the sum of n terms, a is the first term, and d is the common difference. In this case, n = 5, a = 1, and d = 3. Plugging these values into the formula, we get: Sn = (5/2) * (2(1) + (5-1)3) = (5/2) * (2 + 12) = (5/2) * 14 = 5 * 7 = 35.
A general formula for an arithmetic sequence is: an = a1 + (n-1)d, where an is the nth term, a1 is the first term, and d is the common difference. This formula can be used to find any term in the sequence.