Solve for the sum of series in
given sequence
S(sub)3 in { 1, 8, 15, 22, 29, 36}
The given sequence is an arithmetic series with a common difference of 7. We need to find the sum of the first 3 terms in the sequence.
The formula for the sum of an arithmetic series is:
S(n) = (n/2) * (a + l)
where S(n) is the sum of the first n terms, a is the first term, l is the last term, and n is the number of terms.
In this case, n = 3, a = 1, and l = 15 (the third term in the sequence).
Plugging in these values into the formula:
S(3) = (3/2) * (1 + 15)
= (3/2) * 16
= 24
Therefore, the sum of the first 3 terms in the sequence is 24.