Final answer:
The list is an arithmetic sequence with a common difference of 3. To find the total number of terms, use the arithmetic sequence formula. There are 28 numbers in the list.
Step-by-step explanation:
The list given is a sequence of numbers starting with −0.5 and increasing by 3 each time, ending with 80.5. To find the total number of numbers in this list, we need to determine the common difference and use an arithmetic sequence formula.
The formula for the nth term of an arithmetic sequence is given by:
an = a1 + (n − 1) × d
Where:
- an is the nth term of the sequence (80.5 in this case)
- a1 is the first term of the sequence (−0.5 in this case)
- d is the common difference between the terms of the sequence (3 in this case)
- n is the number of terms in the sequence (what we're trying to find)
By plugging in our values:
80.5 = −0.5 + (n − 1) × 3
Solving for n, we get:
81 = (n − 1) × 3
n − 1 = 81 / 3
n − 1 = 27
n = 28
So, there are 28 numbers in the given list.