The first term in an arithmetic sequence is -1. The fourth term in the sequence is -4. The tenth term in the sequence is -10. Which function can be used to find the nth term of the arithmetic sequence?
each term is -1 times the number of the term
A(n) = -n
Umm R_scott Can you help me with math?
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I did it as"IDK Math So PLEASE HELP"
To find the nth term of an arithmetic sequence, you can use the formula for the general term of an arithmetic sequence:
an = a1 + (n - 1) * d
Where:
an is the nth term of the sequence
a1 is the first term of the sequence
n is the position of the term in the sequence
d is the common difference between consecutive terms
Let's use the given information to find the common difference (d). We can use the fourth and first terms:
-4 = -1 + (4 - 1) * d
Simplifying the equation:
-4 = -1 + 3d
-4 + 1 = 3d
-3 = 3d
d = -1
Now that we have found the common difference (d), we can use it to find any term in the sequence. Let's use the tenth term as an example:
a10 = -1 + (10 - 1) * (-1)
Simplifying the equation:
a10 = -1 + 9 * (-1)
a10 = -1 - 9
a10 = -10
So, the function that can be used to find the nth term of the arithmetic sequence is:
f(n) = -1 + (n - 1) * (-1)