Respuesta :
Answer:
Common difference = 2.
Step-by-step explanation:
The general formula for an arithmetic sequence is
an = a1 + d(n-1) where d = the common difference. This can be rearranged to:
an = dn - d + a1
So comparing:
an = 2n - 4 with the above we see that d = 2.
The common difference of arithmetic sequence defined by the formula [tex]a_{n}[/tex] = 2n−4 will be 2.
What is Arithmetic progression?
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2 .
Given that the formula of nth term [tex]a_{n}[/tex] = 2n−4
[tex]a_{n}[/tex] = 2n−4 ⇒ m [tex]a_{n}[/tex] = 2n - 2 -2
[tex]a_{n}[/tex] = -2 + 2(n-1)
The nth term of the AP is given by [tex]a_{n}[/tex] = a + (n -1)d
By comparing these two-equation we get
Common difference (d) = 2.
For more about Arithmetic progression
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