Use the Ratio Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } \frac { 5 ( n ! ) ^ { 2 } } { ( 2 n ) ! }$$

question 472

Multiple Choice

Use the Ratio Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 5 ( n ! ) ^ { 2 } } { ( 2 n ) ! }$$

• A) Diverges
• B) Converges

---

Definitions:

Haploid Number

The number of chromosomes in a gamete of an organism, representing one complete set of chromosomes.

Chromosomes

Structures composed of DNA and proteins found in the nucleus of most living cells, carrying genetic information in the form of genes.

Prometaphase

Phase of cell division that occurs between prophase and metaphase and is characterized by attachment of the spindle fibers to the kinetochores of each sister chromatid.

Metaphase

A stage of mitosis in cell division where chromosomes line up in the middle of the cell before being separated into two new cells.