Calculate the arithmetic series 3/2+2+5/2
Calculate S12
The formula for the sum of an arithmetic series is given by:
S = n/2 * (a + l)
where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
In this case, the series is 3/2, 2, 5/2.
The first term (a) is 3/2, and the last term (l) is 5/2.
The number of terms (n) is 3.
Using the formula, we can calculate the sum (S12):
S12 = 12/2 * (3/2 + 5/2)
S12 = 6 * (8/2)
S12 = 6 * 4
S12 = 24