What is the sum of the finite arithmetic series? 7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (–0.2) + (–1.5)
The sum of a finite arithmetic series is calculated using the formula:
S = n/2 * (first term + last term)
where:
S = sum of the finite arithmetic series
n = number of terms in the series
first term = 7.6
last term = -1.5
In this case, there are 8 terms in the series, so n = 8.
Plugging in the values:
S = 8/2 * (7.6 + (-1.5))
S = 4 * (6.1)
S = 24.4
Therefore, the sum of the finite arithmetic series is 24.4.