Express the Sum Using Summation Notation A) $\sum _ { k = 1 } ^ { 4 } \frac { 5 ^ { 15 + k } } { 9 ^ { 3 + k } }$

question 156

Multiple Choice

Express the sum using summation notation.
- $$\frac { 5 ^ { 14 } } { 9 ^ { 4 } } + \frac { 5 ^ { 13 } } { 9 ^ { 5 } } + \frac { 5 ^ { 12 } } { 9 ^ { 6 } } + \ldots + \frac { 5 ^ { 7 } } { 9 ^ { 11 } }$$

• A) \(\sum _ { k = 1 } ^ { 4 } \frac { 5 ^ { 15 + k } } { 9 ^ { 3 + k } }\)
• B) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { - k } } { 9 ^ { 3 + k } }\)
• C) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 9 ^ { k } }\)
• D) \(\sum _ { k = 1 } ^ { 8 } \frac { 5 ^ { 15 - k } } { 9 ^ { 3 + k } }\)

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Definitions:

Transduction

Exchange of DNA between bacteria by means of a bacteriophage.

Conjugation

A form of genetic exchange between bacteria where genetic material is transferred from one bacterium to another through direct contact.

Circular Chromosome

A type of chromosome common in bacteria and archaea, characterized by a circular DNA molecule that lacks a telomere and where replication occurs in a bidirectional manner.

Ribosomes

Small cellular structures that are the sites of protein synthesis in living cells.