Final answer:
The question asks whether each given series is a geometric series or a sum of two geometric series and whether it converges. A geometric series converges if the absolute value of the common ratio is less than 1. The Central Limit Theorem relates to the normal distribution of sums of random variables, with the normal distribution's properties being relevant to the provided statements.
Step-by-step explanation:
The question pertains to whether a given series is a geometric series or a sum of two geometric series, and the convergence properties of such series. In geometric series, the ratio between consecutive terms is constant. To determine convergence, one must look at the absolute value of the common ratio r. If |r|<1, the geometric series converges; if |r|≥1, it diverges. The sum of two geometric series will similarly converge or diverge based on the convergence properties of each individual series. Understanding the convergence is important as it affects the validity of using the series to represent functions or calculations.
In the context of the Central Limit Theorem (item 72 from provided references), which is a separate topic from series convergence, the distribution of sums refers to the property where the sum of a large number of random variables will tend to be normally distributed. The given statements test knowledge of the properties of a normal distribution where the mean, median, and mode are equal (a), the area under the curve is one (b), the curve never touches the x-axis (c), and when not skewed, it is symmetrical and not skewed to the right nor left (d).