Step 1: Understanding the Question:
The problem lists four structural and behavioral traits of a chemical homologous series and requires identifying the statement that is factually false.
Step 2: Detailed Explanation:
Let's evaluate the chemical definitions of a homologous series item by item:
Option (B): True. Members share the exact same functional group, which directly determines their chemical reactivity and properties.
Option (C): True. The foundational style of the carbon skeleton (e.g., straight-chain alkanes) remains consistent as you walk down the series.
Option (D): True. Every series follows an overarching general mathematical formula (e.g., $\mathrm{C}_n\mathrm{H}_{2n+2}$ for alkanes).
Option (A): False. By definition, consecutive or neighboring members in a homologous series change by a single structural methylene group, which is a $-\mathrm{CH}_2-$ unit. This means they differ by exactly one carbon atom and two hydrogen atoms, not two of each.
Step 3: Final Answer:
The statement that is not true is option (A).