Future Population at End of n Decades in Geometrical Increase Method Calculator

✖Last Known Population is the population of any area of the previous year or decade.ⓘ Last Known Population [P_o]			+10% -10%
✖Average % Growth Rate in the geometric increase method is usually found by the arithmetic mean or geometric mean which is the maximum.ⓘ Average % Growth Rate [r]			+10% -10%
✖Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.ⓘ Number of Decades [n]			+10% -10%

✖Forecasted Population is the population forested usually after n decade or after n years.ⓘ Future Population at End of n Decades in Geometrical Increase Method [P_n]

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Future Population at End of n Decades in Geometrical Increase Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^Number of Decades
P_n = P_o*(1+(r/100))^n
This formula uses 4 Variables

Variables Used

Forecasted Population - Forecasted Population is the population forested usually after n decade or after n years.
Last Known Population - Last Known Population is the population of any area of the previous year or decade.
Average % Growth Rate - Average % Growth Rate in the geometric increase method is usually found by the arithmetic mean or geometric mean which is the maximum.
Number of Decades - Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.

STEP 1: Convert Input(s) to Base Unit

Last Known Population: 275000 --> No Conversion Required
Average % Growth Rate: 12.82 --> No Conversion Required
Number of Decades: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_n = P_o*(1+(r/100))^n --> 275000*(1+(12.82/100))^2

Evaluating ... ...

P_n = 350029.691

STEP 3: Convert Result to Output's Unit

350029.691 --> No Conversion Required

FINAL ANSWER

350029.691 ≈ 350029.7 <-- Forecasted Population

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Geometric Increase Method Calculators

Average Percentage Increase given Future Population from Geometrical Increase Method

LaTeX Go Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/Number of Decades)-1)*100

Present Population given Future Population from Geometrical Increase Method

LaTeX Go Last Known Population = Forecasted Population/(1+(Average % Growth Rate/100))^Number of Decades

Future Population at End of n Decades in Geometrical Increase Method

LaTeX Go Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^Number of Decades

Future Population at End of 2 Decades in Geometrical Increase Method

LaTeX Go Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^2

Future Population at End of n Decades in Geometrical Increase Method Formula

LaTeX Go

Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^Number of Decades
P_n = P_o*(1+(r/100))^n

What is Population Forecasting and Methods Involved?

Population forecasting is defined as the method of determining the expected population for a particular design period of a water supply system with the help of the study and analysis of future events and available records.
Methods are
1. Arithmetic Increase Method
2. Geometric Increase Method
3. Incremental Increase Method
4. Decrease Growth Rate Method
5. Logistic Curve Method
6. Demographic Method
7. Simple Graphical Method
8. Comparative Graphical Method
9. Master Plan Method
10. Ratio Method

What is Geometric Increase Method?

In this method, the per-decade percentage increase or percentage growth rate (r) is assumed to be constant, and the increase is compounded over the existing population every decade.
It is also known as the uniform increase method.

How to Calculate Future Population at End of n Decades in Geometrical Increase Method?

Future Population at End of n Decades in Geometrical Increase Method calculator uses Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^Number of Decades to calculate the Forecasted Population, The Future Population at End of n Decades in Geometrical Increase Method formula is defined as the future population when we have prior information on other parameters used. Forecasted Population is denoted by P_n symbol.

How to calculate Future Population at End of n Decades in Geometrical Increase Method using this online calculator? To use this online calculator for Future Population at End of n Decades in Geometrical Increase Method, enter Last Known Population (P_o), Average % Growth Rate (r) & Number of Decades (n) and hit the calculate button. Here is how the Future Population at End of n Decades in Geometrical Increase Method calculation can be explained with given input values -> 350029.7 = 275000*(1+(12.82/100))^2.

FAQ

What is Future Population at End of n Decades in Geometrical Increase Method?

The Future Population at End of n Decades in Geometrical Increase Method formula is defined as the future population when we have prior information on other parameters used and is represented as P_n = P_o*(1+(r/100))^n or Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^Number of Decades. Last Known Population is the population of any area of the previous year or decade, Average % Growth Rate in the geometric increase method is usually found by the arithmetic mean or geometric mean which is the maximum & Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.

How to calculate Future Population at End of n Decades in Geometrical Increase Method?

The Future Population at End of n Decades in Geometrical Increase Method formula is defined as the future population when we have prior information on other parameters used is calculated using Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^Number of Decades. To calculate Future Population at End of n Decades in Geometrical Increase Method, you need Last Known Population (P_o), Average % Growth Rate (r) & Number of Decades (n). With our tool, you need to enter the respective value for Last Known Population, Average % Growth Rate & Number of Decades and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Forecasted Population?

In this formula, Forecasted Population uses Last Known Population, Average % Growth Rate & Number of Decades. We can use 2 other way(s) to calculate the same, which is/are as follows -

Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^2
Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^3

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