Question

Write a program that uses a for statement to calculate and print the product of the odd integers from 1 to 15.

Short answer

The product of odd integers from 1 to 15 is 2027025.

Step-by-step solution

Identify Odd Integers

Identify the odd integers between 1 and 15. These integers are 1, 3, 5, 7, 9, 11, 13, and 15.

Initialize Product Variable

Create a variable named `product` and set its initial value to 1. This variable will hold the cumulative product of the odd integers.

Set Up Loop

Use a `for` loop to iterate over the range of numbers starting from 1 and ending at 15 (inclusive). Since we need only the odd numbers, increment by 2 in the loop.

Multiply Odd Integers

Inside the loop, multiply the variable `product` by the loop iterator for each odd integer. Update the value of `product` at each step.

Print the Result

After the loop ends, use a `print` statement to display the final value of the `product`, which is the product of all odd integers from 1 to 15.

Key concepts

For Loop

In programming, a "for loop" is a control flow statement for specifying iteration, which allows code to be executed repeatedly. It's like a handy tool that lets you repeat a block of code multiple times without having to write it out over and over again. This is especially useful for running the same code on a sequence of values, such as a list or a range of numbers.

In the context of the provided exercise, the for loop is used to iterate through numbers starting from 1 and ending at 15. Since we are interested in odd numbers, the loop increments by 2 each time, effectively skipping the even numbers. Here’s a quick breakdown of how a basic for loop works:

• Initialization: Setting up a starting point for the loop.
• Condition: Determines how long the loop should keep running. As long as the condition is true, the loop continues.
• Increment/Decrement: Adjusts the loop counter by a specific amount with each iteration, such as increasing by 2 to get only odd numbers.

This structure helps in performing tasks effortlessly in programming, like calculating products or summing values, without unnecessary code repetition.

Odd Integers

Odd integers are numbers that cannot be divided evenly by 2, meaning that when you divide an odd integer by 2, you have a remainder of 1. These numbers have interesting properties. They alternate with even numbers, making them fairly easy to identify in a sequence.

In the exercise, we were looking to calculate the product of all odd integers between 1 and 15. This involves numbers such as:

• 1
• 3
• 5
• 7
• 9
• 11
• 13
• 15

Understanding odd integers is crucial in the exercise because our goal was to multiply only these specific numbers, skipping the even numbers in between. Recognizing these numbers means you only perform operations on the intended values, leading to an accurate result.

Product Calculation

Product calculation involves multiplying a series of numbers together to get a final result. In this exercise, the goal is to compute the product of the odd integers from 1 to 15.

The calculation starts by initializing a variable, typically named `product`, to 1. This initialization is essential because 1 is the neutral element of multiplication, ensuring that it doesn't affect the product outcomes of the subsequent operations.

The process is straightforward:

• Begin with your starting product value set to 1.
• Iterate through your chosen set of numbers (in this case, the odd integers).
• Multiply each integer with the product value consecutively.
• Update and store the new product value at every step.

By the end of these iterative operations, the value stored in the product variable is the desired result. Printing this value gives you the total product of all selected integers, which, for this exercise, would be the product of all odd integers between 1 and 15.