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:

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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iren [92.7K]

Answer:

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