The rule used to create the arithmetic sequence -2, -4, -6, -8,.. is an = -2 - 2(n-1)
The arithmetic sequence is
-2, -4, -6, -8,...
The initial term = -2
The common difference = The second term - The first term
= -4 - (-2)
= -4 + 2
= -2
The nth term of the arithmetic sequence is
an = a+ (n-1) d
Where a is the initial term
an is the nth term
d is the common difference
Substitute the values in the equation
an = -2 + (n-1)(-2)
Rearrange the terms
an = -2 -2(n-1)
Hence, the rule used to create the arithmetic sequence -2, -4, -6, -8,.. is an = -2 - 2(n-1)
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