Methanol, ethanol and propanol are three different liquids, yet a chemist treats them as one family and predicts the properties of the third from the first. What makes them one family, and how can you tell in a few seconds whether two formulas belong to the same one?
Start with the part that does the work. The functional group is an atom or a group of atoms joined to the carbon chain which is responsible for the characteristic chemical properties of the organic compounds; examples are the hydroxyl group (—OH), the aldehyde group (—CHO) and the carboxylic acid group (—COOH) (NCERT Class 11 Chemistry, Chapter 8, page 262).
A group or a series of organic compounds, each containing a characteristic functional group, forms a homologous series, and the members of the series are called homologues (NCERT Class 11 Chemistry, Chapter 8, page 262).
Two tests decide membership. First, the members can be represented by a general molecular formula. Second, successive members differ from each other in molecular formula by a —CH₂ unit (NCERT Class 11 Chemistry, Chapter 8, page 262). Both tests need the same functional group, so a pair that differs by CH₂ but carries different functional groups is not a homologous pair.
NCERT names a number of these series: alkanes, alkenes, alkynes, haloalkanes, alkanols, alkanals, alkanones, alkanoic acids and amines (NCERT Class 11 Chemistry, Chapter 8, page 262). Compounds with carbon and hydrogen only are hydrocarbons; a hydrocarbon with only carbon-carbon single bonds is saturated, and the IUPAC name for the homologous series of such compounds is alkane (NCERT Class 11 Chemistry, Chapter 8, page 263).
Watch out: "differ by CH₂" is not enough on its own. Check the functional group first, then count the CH₂ steps.