SOLUTION: What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence? 10, 5, 0, -5, -10, ...

Question 1010993: What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?

10, 5, 0, -5, -10, ...

A)
-5n

B)
-5n + 15

C)
-3n + 15

D)
5n

Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
For such an arithmetic sequence, we have
an = a1 + (n-1)d
where a1 = 10 and d = -5 so that
an = 10 + (n-1)(-5) = 10 - 5n + 5 = 15 - 5n
Choice B.
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