What culture produced early pottery and is thought to be the common ancestor for some of the pacific cultures, including cultures in micronesia, polynesia, and some of the coastal areas of melanesia

The correct answer is the Lapita culture.
It refers to people living in the area of the Pacific islands somewhere between 1600 BCE and 500 BCE. This culture is thought of by archaeologists as an ancestor to many other cultures, such as those in Micronesia, Polynesia, and Melanesia. Their pottery was very distinctive and beautifully crafted.

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