Mathematics
14.12.2022 18:15
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Determine the volume of the shaded region.

Determine the volume of the shaded region.
Determine the volume of the shaded region.
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Bunnybear3384
Bunnybear3384
4,5(75 marks)

ย  Converges; -8/3

Step-by-step explanation:

The formula for the sum of a geometric sequence is ...

ย  S = a1/(1-r)

where a1 is the first term (-4) and r is the common ratio (-1/2). Filling in these values, we get ...

ย  S = -4/(1 -(-1/2)) = -4(2/3) = -8/3

The series converges to a sum of -8/3.

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