Madame Dumas has a rather extensive art collection and the over all value of her collection has been increasing each year. Three years ago her collection was worth $450,000. Two years ago her collection value increased to $810,000, and last year her collection was valued at $1,458,000.
Assume that the rate which Madame Dumas art collection value increase remains as it has been for the last three years. The value of the collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.
A) write an explict rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 12 years after she started tracking its worth.ROund to nearest dollar.