Which function describes the arithmetic sequence shown?
3, 7, 11, 15, 19, 23, ..
A) ƒ(x) = 4x − 4
B) ƒ(x) = 4x − 3
C) ƒ(x) = 4x − 2
D) ƒ(x) = 4x − 1
f(x) grows by 4, so look for something like
y = 4x
but, when x=1, y=3, which would be 4x-1.
Looks like D.
it's not a!!!!
but where'd you get the 3 and the 1?
it seems today that all
Hmm, let me put on my clown wig and think about this one.
To determine the function that describes the arithmetic sequence, we need to identify the common difference, which is the amount that each term increases by. In this sequence, each term is increasing by 4.
Now, let's consider the answer choices:
A) ƒ(x) = 4x − 4: If we plug in x = 1, this gives us a value of 0, which doesn't fit the sequence. So, that's not it.
B) ƒ(x) = 4x − 3: Plugging in x = 1, we get 1, which is not the correct first term. So, that's not it either.
C) ƒ(x) = 4x − 2: Plugging in x = 1, we get 2, which is the correct first term. Also, if we plug in x = 2, we get 6, which is the second term. This fits the sequence!
D) ƒ(x) = 4x − 1: Plugging in x = 1, we get 3, which is not the correct first term. So, let's pop that option off the list.
Therefore, the correct function that describes the arithmetic sequence is option C, ƒ(x) = 4x − 2.
To determine the function that describes the arithmetic sequence, you need to identify the common difference between terms in the sequence. The common difference is the constant value added or subtracted to each term to get the next term.
In this sequence, the common difference is 4, since each term is obtained by adding 4 to the previous term.
Now, let's check the given options:
A) ƒ(x) = 4x − 4: This function doesn't represent the given sequence because it subtracts 4, not adds, as the common difference suggests.
B) ƒ(x) = 4x − 3: This function represents the given sequence because it subtracts 3 from the term number (x) multiplied by 4, which is the common difference.
C) ƒ(x) = 4x − 2: This function doesn't represent the given sequence because it subtracts 2, not adds, as the common difference suggests.
D) ƒ(x) = 4x − 1: This function doesn't represent the given sequence because it subtracts 1, not adds, as the common difference suggests.
Therefore, the correct function that describes the arithmetic sequence is ƒ(x) = 4x − 3, which is option B.