## Core Concept
The question describes a genetic disorder that appears in three consecutive generations of a family without any sex predilection. This pattern suggests an autosomal dominant mode of inheritance, where a single copy of the dominant allele is enough to cause the condition. The fact that phenotypically normal family members have healthy offspring also provides clues about the inheritance pattern.

## Why the Correct Answer is Right
The disorder's appearance in three consecutive generations without sex predilection is characteristic of **autosomal dominant inheritance**. In autosomal dominant disorders, an affected individual has a 50% chance of passing the mutated gene to each offspring. The fact that phenotypically normal family members have healthy offspring suggests that they are unlikely to be carriers of an autosomal recessive condition (which would require two copies of the mutated gene to express the disease) or that the condition is not recessive. This pattern fits well with autosomal dominant inheritance, where a single normal allele is sufficient to prevent the disease phenotype.

## Why Each Wrong Option is Incorrect
- **Option A:** This option would represent an X-linked pattern of inheritance. However, X-linked disorders typically show a sex predilection, with males being more frequently affected than females (since they have only one X chromosome). This does not match the description given.
- **Option B:** This option suggests an autosomal recessive pattern. However, autosomal recessive disorders often skip generations and typically require both parents to be at least carriers. Phenotypically normal carriers can have affected offspring, but the pattern usually doesn't show a direct parent-to-offspring transmission in every generation.
- **Option D:** This option might suggest a mitochondrial or Y-linked pattern. Mitochondrial disorders are transmitted solely by mothers to all their offspring, and Y-linked disorders are passed from father to son. Neither pattern matches the description of equal sex distribution and occurrence in consecutive generations without restriction.

## Clinical Pearl / High-Yield Fact
A key point to remember is that **autosomal dominant disorders** often present with a family history that spans multiple generations, with about 50% of offspring of an affected parent being affected. This is a high-yield fact for genetic counseling and predicting the risk of disease transmission in families.

## Correct Answer: C.