Classify the Aries -1+2+(-4)+8 as arithmetic or geometric. Then determine whether the series is convergent or divergent
The given series -1 + 2 + (-4) + 8 is an arithmetic series. This is because the difference between each term is constant. In this case, the common difference is 3.
To determine whether the series is convergent or divergent, we need to find the sum of the series.
The sum of an arithmetic series can be found using the formula Sn = (n/2)(a + L), where Sn 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, there are 4 terms in the series, the first term is -1, and the last term is 8.
Using the formula, we can calculate Sn:
Sn = (4/2)(-1 + 8)
= (2)(7)
= 14.
Therefore, the series -1 + 2 + (-4) + 8 is convergent, and its sum is 14.