Respuesta :
The best way to solve this would be by the use of a table.
x) 1 2 3 4
y) 9 15 21 27
As you can see, the y value increases by 6 each time. Therefore d=6 or the common difference is 6
The common difference is 6.
Arithmetic sequence:
- An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k.
- In a geometric sequence, each term rises by dividing or multiplying a certain constant k.
- A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
- An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Solution -
[tex]an=6n+3[/tex]
Since each [tex]n[/tex] is multiplied by [tex]6[/tex].
Increasing [tex]n[/tex] by [tex]1[/tex] adding [tex]6[/tex] to the previous term.
Proof: Going from [tex]an[/tex] to [tex]an+1[/tex] means that -
[tex]an+1-an=6(n+1)+4-(6n+4)=6[/tex]
Therefore, the common difference is 6.
Know more about arithmetic sequence here:
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