Use Mathematical Induction to Prove the Formula for Every Positive $7 + 10 + 13 + 16 + \mathrm { K } + ( 3 n + 4 ) = \frac { n } { 2 } ( 3 n + 11 )$

question 19

Essay

Use mathematical induction to prove the formula for every positive integer n. Show all your work. $7 + 10 + 13 + 16 + \mathrm { K } + ( 3 n + 4 ) = \frac { n } { 2 } ( 3 n + 11 )$

Comprehend the impact of genetic information on human development, including the human genome.

Identify genetic testing and its implications for prenatal development.

Understand the influence of environmental and genetic factors on the development of siblings within the same family.

Describe the concepts of genotype and phenotype, including examples.

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Definitions:

Edema

Swelling caused by excessive fluid accumulation in body tissues, often seen in limbs, abdomen, or facial areas.

Miscarriage

The spontaneous expulsion of the fetus from the uterus before 20 weeks of pregnancy. Also referred to as pregnancy loss or spontaneous abortion.

Embryo

The early developmental stage of a multicellular organism following fertilization and prior to fetal development.

Pregnancy

The condition of having a developing embryo or fetus in the uterus, marked by various physical and hormonal changes.