Solve the following recurrence relations. an = 3an-1
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Answer:
Step-by-step explanation:
Simplifying
an = 3an + -1
Reorder the terms:
an = -1 + 3an
Solving
an = -1 + 3an
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-3an' to each side of the equation.
an + -3an = -1 + 3an + -3an
Combine like terms: an + -3an = -2an
-2an = -1 + 3an + -3an
Combine like terms: 3an + -3an = 0
-2an = -1 + 0
-2an = -1
Divide each side by '-2n'.
a = 0.5n-1
Simplifying
a = 0.5n-1
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