c. If a second town would like to implement the combination of the two methods shown above such that poles are switched between arithmetic and geometric progressions. The first pole will be installed at 150 m and the pole number 25 will be installed at 1350 m. Then poles will be installed based on a geometric model such that it will cover 3.5 km representing the remaining distance. The ratio between two poles is 1.026. Determine the location for pole number 10 of the new geometric progression model and the approximate total number of poles that are needed for this town. Comment on these results.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer task 2, part c.

Task 2
A small town would like to install 9 renewable lighting poles covering a distance of 2900 m. The
first pole will be at 170 m.
a. Determine the values of each pole location correct to the nearest whole number using
arithmetic progression.
b. Determine the values of each pole location correct to the nearest whole number using
geometric progression.
c. If a second town would like to implement the combination of the two methods shown
above such that poles are switched between arithmetic and geometric progressions. The
first pole will be installed at 150 m and the pole number 25 will be installed at 1350 m.
Then poles will be installed based on a geometric model such that it will cover 3.5 km
representing the remaining distance. The ratio between two poles is 1.026. Determine
the location for pole number 10 of the new geometric progression model and the
approximate total number of poles that are needed for this town. Comment on these
results.
Calculations and data should be clearly explained and presented so that they are
understandable to a non-technical audience.
Transcribed Image Text:Task 2 A small town would like to install 9 renewable lighting poles covering a distance of 2900 m. The first pole will be at 170 m. a. Determine the values of each pole location correct to the nearest whole number using arithmetic progression. b. Determine the values of each pole location correct to the nearest whole number using geometric progression. c. If a second town would like to implement the combination of the two methods shown above such that poles are switched between arithmetic and geometric progressions. The first pole will be installed at 150 m and the pole number 25 will be installed at 1350 m. Then poles will be installed based on a geometric model such that it will cover 3.5 km representing the remaining distance. The ratio between two poles is 1.026. Determine the location for pole number 10 of the new geometric progression model and the approximate total number of poles that are needed for this town. Comment on these results. Calculations and data should be clearly explained and presented so that they are understandable to a non-technical audience.
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