The 30th term of the arithmetic progression 5, 8, 11 is 92.
Determining the 30th Term of an Arithmetic Progression
An arithmetic progression is a sequence of numbers such that the difference between consecutive terms is constant. This constant difference is called the common difference. To find the nth term of an arithmetic progression, we can use the formula:
an = a1 + (n - 1)d
where:
- an is the nth term
- a1 is the first term
- n is the term number
- d is the common difference
In this case, we have the arithmetic progression 5, 8, 11.
- a1 = 5 (the first term)
- d = 8 - 5 = 3 (the common difference)
- n = 30 (we want to find the 30th term)
Plugging these values into the formula:
a30 = 5 + (30 - 1) 3
a30 = 5 + (29) 3
a30 = 5 + 87
a30 = 92
Therefore, the 30th term of the arithmetic progression is 92, as confirmed by the provided reference which states: "Final Answer: The 30th term of the arithmetic progression is 92."
