As an active environmentalist who is interested in the impact of climate change on sea level, you focused in developing a mathematical model on the rise of sea level at Mount Kinabalu yearly. Assume that Mount Kinabalu is 4095m above sea level at the beginning of year 2015 as shown in Figure 2.0. However, due to climate change, you found out that there is an increment of 0.002% sea level at the end of each year. Let Pnrepresents the elevation of n years for Mount Kinabalu. Determine the linear recurrence relation after 1 year, 2 years and 3 years. Find a linear recurrence relation to describe the elevation after n years. What is the elevation of Mount Kinabalu at the end of year 2020?
Unitary Method
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Units and Measurements
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As an active environmentalist who is interested in the impact of climate change on sea level, you focused in developing a mathematical model on the rise of sea level at Mount Kinabalu yearly. Assume that Mount Kinabalu is 4095m above sea level at the beginning of year 2015 as shown in Figure 2.0. However, due to climate change, you found out that there is an increment of 0.002% sea level at the end of each year. Let Pnrepresents the elevation of n years for Mount Kinabalu.
- Determine the linear recurrence relation after 1 year, 2 years and 3 years.
- Find a linear recurrence relation to describe the elevation after n years.
- What is the elevation of Mount Kinabalu at the end of year 2020?
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