The numbers decrease by 6.
-1, -8, -14, -20, -26, -32, -38, -44, -50, -56, -62, -68, -74, -80, -86, -92, -98, -104, -110, -116, -122, -128, -134, -140, -146
The 26th term of the arithmetic sequence -2, -8, -14, -20, … will be negative 152.
Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n - 1)d[/tex]
The first term (a₁) is (–2) and the common difference will be
d = –8 – (–2)
d = –6
Then the 26th term of the arithmetic sequence will be
a₂₆ = –2 + (26 – 1)(–6)
a₂₆ = –2 – 25 x 6
a₂₆ = –2 – 150
a₂₆ = –152
More about the arithmetic sequence link is given below.
https://brainly.com/question/15412619
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