Solve for the sum of series in given sequence
S(sub)4 in { 4, 8, 12, 16, 20, 24}
The given sequence is an arithmetic sequence with a common difference of 4.
To find the sum of the series S4, we can use the formula for the sum of an arithmetic series:
Sn = n/2 * (2a + (n-1)d)
where Sn represents the sum of the first n terms, a is the first term, and d is the common difference.
In this case, n = 4 (since S4 means the sum of the first 4 terms), a = 4 (the first term), and d = 4 (the common difference).
Plugging the values into the formula:
S4 = 4/2 * (2(4) + (4-1)(4))
= 2 * (8 + 3(4))
= 2 * (8 + 12)
= 2 * 20
= 40.
Therefore, the sum of the series S4 is 40.