Determine Whether the Sequence Converges or Diverges $$\frac { 1 } { 4096 } , \frac { 1 } { 1024 } , \frac { 1 } { 256 } , \frac { 1 } { 64 } , \ldots$$

question 5

Multiple Choice

Determine whether the sequence converges or diverges. If it converges, give the limit.
- $$\frac { 1 } { 4096 } , \frac { 1 } { 1024 } , \frac { 1 } { 256 } , \frac { 1 } { 64 } , \ldots$$

• A) Converges; \(\frac { 1 } { 5120 }\)
• B) Diverges
• C) Converges; 0
• D) Converges; \(\frac { 2 } { 3 }\)

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Definitions:

Childhood

The period in a human's life following infancy and preceding adolescence, characterized by growth, development, and significant cognitive, emotional, and social changes.

Pronuclei

The haploid nuclei of the egg and sperm that come together but do not fuse immediately during the fertilization process.

Fusion

The process or result of joining two or more things together to form a single entity.

Zygote

The initial cell formed when a sperm cell fertilizes an egg cell, marking the beginning of a new organism.