An explicit rule is a rule that you can solve without needing the previous term. For example to find the value of y, you don't need to know what x is.
y = 4 + 4
vs.
y = 2x + 4
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Each number is -4 times the previous one. That means that you can write a recursive rule as: f(1) = -3 f(n) = -4 * f(n-1) The explicit rule involves powers of -4; you can write it as: f(n) = -3 * (-4)^(n-1)
Multiply each term by -3 and so the next term will be 243
It is not possible to give a conclusive answer because for a recursive relationship of order 1, the first (or 0th) term must be specified.A(n) = (5*n^2 + 3*n + 2*A(1) - 8)/2 for n = 1, 2, 3, ...
Implicit: x2 + 2y = 5 Explicit : y = (5 - x2)/2
Yep.