Correct Answer: Option C

Explanation

\(T_{n} = a + (n - 1) d\) (nth term of an AP).

\(T_{9} = 5T_{5}\)

\(a + 8d = 5(a + 4d) \implies a + 8d = 5a + 20d\)

\(5a - a + 20d - 8d = 0 \implies 4a + 12d = 0\)

\(a + 3d = 0\)

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