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

Step-by-step explanation:

Explanation:-

Geometric sequence:-

The geometric sequence is of the form

……… be an infinite sequence

here first term is 'a' and ratio is 'r '

In this geometric sequence 'n' t h term is ....(1)

Given data  a1 term is '8 ' and ratio is '4'

substitute n=1 in equation(1)

= 8

...........(2)

substitute r= 4 in equation(2)

now we get        a(4)=8

dividing "4" on both sides , we get   a = 2

Geometric series:-

.....is an infinite geometric series.

sum of this infinite series will be the upper limit of the fungal spores

that is we have to find sum of infinite series

Final -

sum of this infinite series will be the upper limit of the fungal spores