Concept:
A homologous series is a family of organic compounds having:
• Same functional group
• Similar chemical properties
• Gradual change in physical properties
Successive members differ by one:
\[
\boxed{CH_2}
\]
unit.
Examples of alkane homologous series:
\[
CH_4,\ C_2H_6,\ C_3H_8,\ C_4H_{10}
\]
Observe:
\[
C_2H_6 - CH_4 = CH_2
\]
\[
C_3H_8 - C_2H_6 = CH_2
\]
Step 1: Understand homologous series.
In organic chemistry, compounds arranged in a sequence where each next member differs by:
\[
CH_2
\]
are called homologous series.
Step 2: Check all given options carefully.
Option (A): \( CH_3 \)
Incorrect because homologous compounds do not differ by \(CH_3\).
Option (B): \( CH_4 \)
Incorrect because methane itself is a compound, not the common difference.
Option (C): \( CH_2 \)
Correct because every successive member increases by one methylene group.
Hence, correct.
Option (D): \( C_2H_2 \)
Incorrect because homologous members do not differ by this unit.
Step 3: Select the correct answer.
Therefore, successive compounds differ by:
\[
\boxed{CH_2}
\]
Hence,
\[
\boxed{(3)\ CH_2}
\]