Final answer:
To find the sum of 5 terms of the sequence 1, 4, 7, 10, 13, ..., we can use the formula for the nth term of an arithmetic sequence.
Step-by-step explanation:
To find the sum of 5 terms of the sequence 1, 4, 7, 10, 13, ..., we can use the formula for the nth term of an arithmetic sequence. The formula is given by:
an = a1 + (n-1)d
where an represents the nth term, a1 is the first term, n is the number of terms, and d is the common difference. In this case, a1 = 1, n = 5, and d = 3. Plugging these values into the formula:
a5 = 1 + (5-1)*3 = 1 + 4*3 = 1 + 12 = 13
So, the sum of the first 5 terms of the sequence is 1 + 4 + 7 + 10 + 13 = 35.