Answer :
Final answer:
This is a geometric sequence, each term is ten times the previous term. The recursive formula that describes this sequence is an = 10*an-1.
Explanation:
The sequence in question, 2, 20, 200, 2000, 20000, 200000,... represents a pattern where each term is 10 times larger than the previous one. This makes it a geometric sequence.
We can define this sequence with a recursive format. In recursive formulas, each term is expressed as a function of its preceding term(s). For this sequence, the recursive formula can be given as:
an = 10*an-1
This formula means that any term of the sequence is 10 times the previous term. For example, where n=2, the second term is 10 times the first term, 20=10*2. Where n=3, the third term is 10 times the second term, 200=10*20, and so on.
Learn more about Recursive Formula here:
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