Step 1: Metamorphism of siliceous dolomitic limestones.
Siliceous dolomitic limestones consist of calcite/dolomite + silica impurities. During regional metamorphism, the mineral assemblages change progressively with increasing temperature and pressure.
Step 2: Low-grade index mineral.
At low metamorphic grade, the stable mineral is Talc, formed from the reaction of dolomite with silica under greenschist facies conditions.
Step 3: Intermediate-grade index mineral.
With increasing grade, Tremolite (an amphibole) forms, replacing talc as temperature increases.
Step 4: High-grade index mineral.
At even higher metamorphic grade, Diopside (a clinopyroxene) develops, indicating higher temperature conditions typical of amphibolite facies.
Step 5: Order of progression.
Hence, the sequence of index minerals is:
\[
\text{Talc (low grade)} \;\;\Rightarrow\;\; \text{Tremolite (intermediate grade)} \;\;\Rightarrow\;\; \text{Diopside (high grade)}
\]
\[
\boxed{\text{Talc $\;\Rightarrow\;$ Tremolite $\;\Rightarrow\;$ Diopside}}
\]