An explicit rule defines the terms of a sequence in terms of some independent parameter. A recursive rule defines them in relation to values of the variable at some earlier stage(s) in the sequence.
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The answer depends on what the explicit rule is!
a recursive pattern is when you always use the next term in the pattern... for example 4,(x2+1) 9,(x2+1) 19,(x2+1) 39,(x2+1) 79,(x2+1) 159
No. Grapes have nothing to do with a recursive series of numbers following the rule that any number is the sum of the previous two.
U1 = 27 U{n+1} = U{n} - 3
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.