Math Problem Statement

Gboko local government area benue State e Nigeria in 2006, 361325 population,2.3% annual population change. Using The Arithmetic method projection project from2006-2034 in calculating no approximations calculate in full figures, and put it in table yearly arranged where the formula GR/100×p1+p1, where p1=361325,GR=2.3% use this formula

Solution

Initial population and growth rate

initial_population = 361325 growth_rate = 2.3 / 100 # Converting percentage to a decimal

Number of years to project (2007 to 2034 inclusive)

years = list(range(2007, 2035))

Initialize a list to store the projected population for each year

population_projections = [initial_population]

Calculate the population for each year using the formula Pn = GR/100 * Pn-1 + Pn-1

for year in years: new_population = population_projections[-1] * (growth_rate + 1) population_projections.append(int(new_population)) # No approximations

Prepare the table with year and corresponding population

projection_table = list(zip([2006] + years, population_projections)) projection_tableHere is the projected population of Gboko Local Government Area in Benue State, Nigeria, from 2006 to 2034 using the Arithmetic method with the formula Pn=GR100×Pn1+Pn1P_{n} = \frac{GR}{100} \times P_{n-1} + P_{n-1}, where the growth rate (GR) is 2.3% and the initial population in 2006 is 361,325:

Population Projection Table (2006 - 2034)

YearPopulation
2006361,325
2007369,635
2008378,136
2009386,833
2010395,730
2011404,831
2012414,142
2013423,667
2014433,411
2015443,379
2016453,576
2017464,008
2018474,680
2019485,597
2020496,765
2021508,190
2022519,878
2023531,835
2024544,067
2025556,580
2026569,381
2027582,476
2028595,872
2029609,577
2030623,597
2031637,939
2032652,611
2033667,621
2034682,976

This table shows the population each year without any approximations.

Would you like any further explanations or have any questions?

Related Questions:

  1. What is the significance of using full figures in population projections?
  2. How does the Arithmetic method compare to the Geometric method in accuracy?
  3. What factors could cause deviations from this projected population?
  4. How does the population growth rate impact long-term planning for local governments?
  5. What are the challenges in accurately projecting population over long periods?

Tip:

When projecting populations, always ensure that your growth rate is realistic and considers potential socio-economic changes over time.

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Math Problem Analysis

Mathematical Concepts

Arithmetic progression
Population projection

Formulas

Population projection formula: Pn = GR/100 * Pn-1 + Pn-1

Theorems

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Suitable Grade Level

High School