The total number of fungal spores can be found using an infinite geometric series where a1 = 9 and the common ratio is 5. Find the sum of this infinite series that will be the upper limit of the fungal spores.
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We can find the sum of an infinite GP series where the sum converges to a specific point.
A resulting infinite sum is only determinable when the subsequent terms of the GP series decrease in value, or when, the common ratio of the GP is between 0 and 1.
In the given scenario, the first term is 9 and the common ratio is 5.
The next term will be 9*5 = 45, followed by 45*5 = 225 and so on.
The numbers are rising indefinitely and hence the resulting sum will be infinity.
If the common ratio had been between 0 and 1, the sum would have tended to a specific value.
ANSWER: Infinity.
[ANSWERED]
A resulting infinite sum is only determinable when the subsequent terms of the GP series decrease in value, or when, the common ratio of the GP is between 0 and 1.
In the given scenario, the first term is 9 and the common ratio is 5.
The next term will be 9*5 = 45, followed by 45*5 = 225 and so on.
The numbers are rising indefinitely and hence the resulting sum will be infinity.
If the common ratio had been between 0 and 1, the sum would have tended to a specific value.
ANSWER: Infinity.
[ANSWERED]
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