Form 4 - Computer

2024-2025

Floor 4 - Computer Room

Mr. Peter

While Loop Accumulator02

Santa Rosa de Lima English Secondary School

聖羅撒英文中學

Colégio de Santa Rosa de Lima - Secção Inglesa

Outline

What is while accumulator in Python

Explore the concept of Accumulator in Looping

How accumulator works in Python

Focusing on the value change of variables in looping

Python accumulator implementation

Define while loop statement for requirements

Accumulator Implementation

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

Accumulator Implementaion

while i <= 3 :

Tab

i = 1

acc = acc + i

i = i + 1

acc = 0

_____

acc

_____

End

Python Loop Accumulator Statement Exercises

Python Loop Accumulator - Ex01

Write a Python program using a while loop to calculate the sum of all numbers from 1 to 100 (i.e., 1 + 2 + 3 + ... + 100).

1. Save your file as "ClassNumber_YourName_Ex01.py"

Use a while loop to iterate through the numbers.

Accumulate the sum of all numbers between 1 and 100, inclusive.

Print the final sum.

Accumulator = \sum_{i=1}^{100} i

The final sum number is 5050

Python Loop Accumulator - Ex02

Write a Python program using a while loop to calculate the total number of apples Alice will have eaten after 30 days, assuming she starts with one apple on the first day and doubles the number each subsequent day (i.e., 1 + 2 + 4 + ... + ?).

1. Save your file as "ClassNumber_YourName_Ex02.py"

Use a while loop to iterate through the 30 days.

Accumulate the total number of apples eaten over the 30 days.

Print the final total of apples eaten.

Total\ Apples = \sum_{i=1}^{30} 2^{i-1}

Day

_____

Acc

_____

Apples

_____

Python Loop Accumulator - Ex02

Write a Python program using a while loop to calculate the total number of apples Alice will have eaten after 30 days, assuming she starts with one apple on the first day and doubles the number each subsequent day (i.e., 1 + 2 + 4 + ... + ?).

1. Save your file as "ClassNumber_YourName_Ex02.py"

Use a while loop to iterate through the 30 days.

Accumulate the total number of apples eaten over the 30 days.

Print the final total of apples eaten.

Total\ Apples = \sum_{i=1}^{30} 2^{i-1}

The total number of apples eaten is 1,073,741,823

Day

_____

Acc

_____

Apples

_____

Python Loop Accumulator - Ex03

Write a Python program using a while loop to calculate the total amount Alice will have accumulated after 30 years, assuming she starts with 10,000 dollars and reinvests the principal and interest at 5% annually.

1. Save your file as "ClassNumber_YourName_Ex03.py"

Use a while loop to iterate through the 30 years.

Calculate the total amount accumulated over the 30 years.

Print the final total amount accumulated.

Total\ Amount = 10000 + \sum_{i=1}^{30} 10000 \times 0.05 \times (1.05)^{i-1}

Year

_____

Interest

_____

500

525

551.25

578.81

_____

Total

_____

10500

11025

11576.25

12155.06

_____

Python Loop Accumulator - Ex03

Write a Python program using a while loop to calculate the total amount Alice will have accumulated after 30 years, assuming she starts with 10,000 dollars and reinvests the principal and interest at 5% annually.

1. Save your file as "ClassNumber_YourName_Ex03.py"

Use a while loop to iterate through the 30 years.

Calculate the total amount accumulated over the 30 years.

Print the final total amount accumulated.

Total\ Amount = 10000 + \sum_{i=1}^{30} 10000 \times 0.05 \times (1.05)^{i-1}

Year

_____

Interest

_____

500

525

551.25

578.81

_____

Total

_____

10500

11025

11576.25

12155.06

_____

The total amount of money is $4,3219.42

If Mr Peter plans to purchase an Apple Vision Pro priced at $3499, he intends to save money by setting aside $1 per day. Moreover, he aims to increase his daily savings by $2, that means saving two dollars more than the previous day. How many days will it take for Peter to accumulate enough money to buy the Apple Vision Pro?

1. Save your file as "ClassNumber_YourName_Ex04.py"

Use a while loop to loop untill the saved money greater than $3499.

Calculate the total amount saved for each day.

Calculate the saving money for each day.

Total\ Amount = \sum_{i=1}^{n} (1 + 2(i-1))

Day

_____

Saving

_____

119

Total

_____

3600

Python Loop Accumulator - Ex04

Print the final total amount accumulated.

If Mr Peter plans to purchase an Apple Vision Pro priced at $3499, he intends to save money by setting aside $1 per day. Moreover, he aims to increase his daily savings by $2, that means saving two dollars more than the previous day. How many days will it take for Peter to accumulate enough money to buy the Apple Vision Pro?

1. Save your file as "ClassNumber_YourName_Ex04.py"

Use a while loop to loop untill the saved money greater than $3499.

Calculate the total amount saved for each day.

Calculate the saving money for each day.

Total\ Amount = \sum_{i=1}^{n} (1 + 2(i-1))

Day

_____

Saving

_____

119

Total

_____

3600

Python Loop Accumulator - Ex04