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As you might've noticed, there is a PATTERN in the number of termites. That pattern is the no. of termites MULTIPLIED BY 4. Let me prove this:

The 1st term in the no. of termites is 70, the 2nd is 280. 70 MULTIPLIED BY 4 IS 280, ISN'T IT? Now let's look at the 2nd term in the no. of termites is 280 and the 3rd term is 1,120. 280×4= 1,120 isn't it?
Therefore after 1 year the no. of termites is 1, 174,405, 120.
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Answer:

1,174,405,120

Step-by-step explanation:

Multiply each month by 4

70 x 4 = 280

280 x 4 = 1,120

4,480 x 4 = 17,928

17,928 x 4 = 71,680

71,680 x 4 = 286,720

at 12 months you have 1,174,405,120

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