Find the Sum $$\sum _ { \mathrm { k } = 1 } ^ { 3 } \left( \frac { 2 } { 3 } \right) ^ { \mathrm { k } + 1 }$$

question 59

Multiple Choice

Find the sum.
- $$\sum _ { \mathrm { k } = 1 } ^ { 3 } \left( \frac { 2 } { 3 } \right) ^ { \mathrm { k } + 1 }$$

• A) \(\frac { 38 } { 27 }\)
• B) \(\frac { 76 } { 81 }\)
• C) \(\frac { 260 } { 81 }\)
• D) \(\frac { 80 } { 81 }\)

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Definitions:

Parasitoid Wasps

Insects that lay their eggs on or in other insects, with the larvae eventually killing the host.

Stabilizing

A type of natural selection that favors the average individuals in a population, thereby maintaining the population's genetic variation.

Directional

In evolutionary biology, a type of natural selection that favors one extreme phenotype over others, causing a shift in the population's phenotypic distribution over time.

Additive Alleles

Alleles that contribute to the phenotype in a way that the effects of individual alleles add up to produce the overall phenotype.