Question

Determine whether the given credit card numbers are valid. 1. 4417-5486-1785-641 2. 5591-4912-7644-1105. 3. 6011-0408-9477-3158 4. 3715-5487-3184-4663 5. 4274-3156-0372-5492 6. 5164-8295-1229-3674 7. 6011-4988-1002-6487 8. 4896-4198-8760-1970 9. 3401-7143-3912-04 10. 5229-4203, 5061-5465

Answer 1

To determine the validity of the given credit card numbers, the Luhn algorithm should be applied to each, but without performing it, we cannot assess their validity.

Step-by-step explanation:

To determine whether a credit card number is valid, typically, the Luhn algorithm (also known as the "modulus 10" or "mod 10" algorithm) is used. For each of the given credit card numbers, we would apply this algorithm, which includes doubling every second digit from the right and then summing the digits individually, adjusting numbers greater than 9 by subtracting 9 (since doubling a value between 5 and 9 will result in a two-digit number), and finally, checking if the total sum modulo 10 is equal to 0. However, without performing the specific steps of the Luhn algorithm, we cannot definitively determine the validity of the given credit card numbers.

Answer 2

To verify the validity of given credit card numbers, one must use the Luhn algorithm, which involves doubling every second digit from the right, correcting for double-digit products, adding together all digits, and checking if the total is a multiple of 10.

Step-by-step explanation:

To determine whether given credit card numbers are valid, we can use the Luhn algorithm, a simple checksum formula used to validate a variety of identification numbers, most notably credit card numbers. Here's a step-by-step explanation on how to use the Luhn algorithm:

1. Starting with the second to last digit and moving left, double the value of every second digit. If the product of this doubling is greater than 9, then sum the digits of the products (e.g., 16: 1 + 6 = 7).
2. Add together doubled digits with the undoubled digits from the original number.
3. If the total sum obtained in step 2 is a multiple of 10 (i.e., the sum ends in 0), the number is valid according to the Luhn algorithm; otherwise, it is invalid.

Since the validity check has to be performed for each number individually and the numbers are not provided in full here, the student will need to apply these steps to each credit card number to verify its validity.