Express the Sum Using Summation Notation $$\frac { 6 } { 7 } + \frac { 7 } { 8 } + \frac { 8 } { 9 } + \frac { 9 } { 10 } + \ldots + \frac { 19 } { 20 }$$

question 64

Multiple Choice

Express the sum using summation notation. Use a lower limit of summation, not necessarily 1, and k for the index of
summation.
- $$\frac { 6 } { 7 } + \frac { 7 } { 8 } + \frac { 8 } { 9 } + \frac { 9 } { 10 } + \ldots + \frac { 19 } { 20 }$$

• A) \(\sum _ { k = 7 } ^ { 19 } \frac { k } { k + 1 }\)
• B) \(\sum _ { k = 7 } ^ { 19 } \frac { k + 1 } { k }\)
• C) \(\sum _ { k = 6 } ^ { 19 } \frac { k } { k + 1 }\)
• D) \(\sum _ { \mathrm { k } = 6 } ^ { 19 } \frac { \mathrm { k } + 1 } { \mathrm { k } }\)

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Definitions:

Enzymes

Biological catalysts that speed up chemical reactions in living organisms without being consumed in the process.

Abiotic Evolution

The process of environmental and geological changes over time, not influenced by biological factors.

Chemical Evolution

The process by which simple chemical compounds spontaneously formed more complex molecules over time, ultimately leading to the emergence of life from non-living matter.

Organic Evolution

The process of change and diversification of living organisms over time through mutations, natural selection, and genetic drift.