Hi,
This is a really easy question. I think I am analyzing it too much:
Find the cardinal number of the following set:
{1,3,5,.....1001}
Thanks in advance.
Ok, the cardinal number is the numbe of members of a set. The set you've given us the first xxx odd numbers.
Hint:{1} is the first odd number, {1,3} is the first (3+1)/2 odd numbers, {1,3,5) is the first (5+1)/2 odd numbers, (1,3,5,7,...2k+1} is the first ((2k+1)+1)/2 odd numbers etc...
Oh, I was over analyzing! Thanks so much Roger!
I kinda' suspected that -lol!
You're welcome.
I don't understand this. I have the same question and i don't understand how to get it. Please explain further.
No problem, happy to help! Sometimes we tend to overthink things, but it's always good to step back and remember the basics. In this case, the cardinal number simply refers to the number of elements in a set. In the given set {1, 3, 5, ..., 1001}, it is clear that these are all odd numbers.
To find the cardinal number, you can observe that the set is a sequence of odd numbers where each number is incremented by 2 from the previous number. The first odd number in the set is 1, and the last odd number is 1001.
Now, to find the cardinal number, we can count the number of odd numbers in this sequence. Since each number is incremented by 2, we can divide the difference between the first and last numbers (1001 - 1 = 1000) by 2 and add 1 (because we are including the first number) to get the cardinal number:
Cardinal number = (1000 / 2) + 1 = 500 + 1 = 501
So, the cardinal number of the given set is 501.