Answer:
2X + 5
Step-by-step explanation:
1st. 2 × 1 + 5 => 7
2nd. 2 × 2 + 5 => 7
3rd. 2 × 3 + 5 => 7
4th. 2 × 4 + 5 => 7
5th. 2 × 5 + 5 => 7
6th. 2 × 6 + 5 => 7
Xth. 2 × X + 5 => 2X + 5
Answer:
The function that describes the arithmetic sequence is C) [tex]f(x) = 2x + 5[/tex].
Step-by-step explanation:
A sequence is a set of numbers that are in order.
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.
If the first term of an arithmetic sequence is [tex]a_1[/tex] and the common difference is [tex]d[/tex], then the x th term of the sequence is given by
[tex]y_{x}=a_{1}+(x-1)d[/tex]
7, 9, 11, 13, 15, 17, ... is an arithmetic sequence with the common difference 2.
The values of [tex]a_1[/tex] and [tex]d[/tex] are:
[tex]a_1=7\\\\d=2[/tex]
Using the Arithmetic Sequence formula:
[tex]y_{x}=7+(x-1)\cdot 2\\\\y_{x}=7+\left(2x-2\right)\\\\y_{x}=2x+5[/tex]
