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Question

Enter a recursive rule and an explicit rule for the arithmetic sequence. Then, find the 20th term of the sequence.

2, 0, −2, −4, ...

The recursive rule is f(1) = _______ f(n) = f (n+1 or n-1 or n) -______

The explicit rule is f(n) =_____ - ______ (n+1 or n-1 or n)

f(20) = ______

Answer 1

d = -2

a_n+1 = a_n - 2

a_n = 2 + (n - 1)(-2)

a₂₀ = 2 + (19)(-2)