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2016-07-26T10:04:06+08:00

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Clue for common ratio: "doubles"
Therefore common ratio (r) = 2

Clue for which term (n) is after 24 hours: "every two hours... for 24 hours".
Therefore "after" 24 hours n = (24 ÷ 2) + 1
                                           n = 12 + 1
                                           n = 13

an = a₁ ( r)^{n-1}

a₁ = 500          r = 2          n = 12        an/a₁₃ = ?

a₁₃ = 500 (2)¹³ ⁻ ¹

a₁₃ = 500 (2)¹²

a₁₃ = 500 (4,096)

a₁₃ = 2,048,00

ANSWER:  2,048,000

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