The sum of the first 40 terms of the geometric sequence is:
22,114,662.64
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms of a sequence is:
[tex]S_n = \frac{a_1(1 - q^n)}{1 - q}[/tex]
For this problem, the parameters are:
a1 = 1, q = 1.5, n = 40.
Hence the sum is:
[tex]S_{40} = \frac{1 - 1.5^{40}}{1 - 1.5} = 22,114,662.64[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
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