The total number of fungal spores can be found using an infinite geometric series where a1 = 8 and the common ratio is 4. Find the sum of this infinite series that will be the upper limit of the fungal spores.
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OpenStudy (anonymous):
@ganeshie8 @shamil98
OpenStudy (anonymous):
@ehuman
ganeshie8 (ganeshie8):
sum formula for infinite geometric series \( \large \frac{a}{1-r}\)
ganeshie8 (ganeshie8):
plugin and simplify
OpenStudy (anonymous):
8/3
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OpenStudy (anonymous):
=2.6666
OpenStudy (anonymous):
hello @ganeshie8
ganeshie8 (ganeshie8):
wait a sec, to take infinite geometric series sum, common ratio must be less than 1
OpenStudy (anonymous):
oh 1-4 is -3 i made a mistake right?
ganeshie8 (ganeshie8):
check ur question again,
is the common ratio really 4 ?
"... common ratio is 4"
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OpenStudy (anonymous):
It would be -2.6666 or 8/-3
ganeshie8 (ganeshie8):
yeah go wid that:) eventhough its incorrect, ur teacher wants that oly im sure.
OpenStudy (anonymous):
or is it this is a divergent series
OpenStudy (anonymous):
@ganeshie8 lol thats not any of the options
ganeshie8 (ganeshie8):
Yes, this is divergent series. cuz |r| = 4 which is greater than 1
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