There are 10 even whole numbers between 32 and 53.
Here's how to determine that:
Even numbers are whole numbers divisible by 2. We need to find all even numbers strictly between 32 and 53. This means we do not include 32 or 53.
- The first even number after 32 is 34.
- The last even number before 53 is 52.
Therefore, the sequence of even numbers we're considering is: 34, 36, 38, 40, 42, 44, 46, 48, 50, 52.
Counting these, we find there are 10 even numbers.
Another approach is to use a formula. The sequence is an arithmetic progression with a common difference of 2. Let 'n' be the number of terms.
The nth term of an arithmetic sequence is given by: a_n = a_1 + (n-1)d
Where:
- a_n is the last term (52)
- a_1 is the first term (34)
- d is the common difference (2)
So, 52 = 34 + (n-1)2
18 = (n-1)2
9 = n-1
n = 10
Therefore, there are 10 even whole numbers between 32 and 53.
