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Australian AMC 2020 - Intermediate Question 17

AMC AUSTRALIA · Australian AMC 2020 - Intermediate

Question 17

A list of numbers has first term 2 and second term 5. The third term, and each term after this, is found by multiplying the two preceding terms together:
$$2,\ 5,\ 10,\ 50,\ 500,\ldots$$
The value of the eighth term is
  1. $2^5\times5^8$
  2. $2^8\times5^9$
  3. $2^8\times5^{13}$
  4. $2^9\times5^{15}$
  5. $2^{13}\times5^{21}$