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Minchanka [31]
3 years ago
5

What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3?

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

242/27

Step-by-step explanation:

tresset_1 [31]3 years ago
6 0
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,

                                  Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
                                 S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96. 

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Answer:

Step-by-step explanation:

The initial height of a Japanese maple sapling is 14 inches.

The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.

The expression for arithmetic progression is

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From the information given

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d = 2.5 because it is the difference in height between 2 consecutive months

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3 years ago
Question 4
Ilia_Sergeevich [38]

Answer:

2

Step-by-step explanation:

Given

See attachment for chart

Required

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