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Alex787 [66]
3 years ago
13

Find S for the given geometric series. Round answers to the nearest hundredth, if necessary.

Mathematics
2 answers:
mash [69]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Sum of the first n terms of a geometric series is:

S = a₁ (1 - r^n) / (1 - r)

Here, a₁ = 0.2, r = 6, and n = 5.

S = 0.2 (1 - 6^5) / (1 - 6)

S = 311

inn [45]3 years ago
4 0

Answer:

Option A

Step-by-step explanation:

For the given geometric series  

a₁ = 0.2

a₅ = 259.2

r = 6

Then we have to find the sum of initial 5 terms of this series

S_{n} =\frac{a_1(r^4-1)}{(r-1)}=\frac{0.2(6^3-1)}{(6-1)}

=\frac{0.2(7776-1)}{5}

\frac{0.2\times 7775}{5}

= 311

Option A is the answer.

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