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WELCOME
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Unit 7 Section 1: Sequence: Explicit and Recursive Formulas
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(Sequences can be either infinite or finite)
A sequence is an ordered set of numbers where each number is called a term of the sequence. -2, 5, 12, 19, 26, β¦ (Sequences can be either infinite or finite) 1st Term π π 2nd Term π π 3rd Term π π 4th Term π π 5th Term π π
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Recursive Formula Recursively defined sequences are given so that finding each new term depends on knowing the prior term. π π =π, π π =ππ+ π πβπ 3, 15, 27, 39, β¦ π π =π π π = π π +ππ π π = π π +ππ π π = π π +ππ
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Try itβ¦ find the first 5 terms 1) π π =π and π π = π πβπ π π
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Explicit Formula π π =πππβπ 3, 15, 27, 39, β¦
Explicitly defined sequences are given so that finding each term depends on what number the term is in the sequence. π π =πππβπ 3, 15, 27, 39, β¦ π π =ππ π βπ π π =ππ π βπ π π =ππ π βπ π π =ππ π βπ
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Try itβ¦ find the first 5 terms or write a explicit formula 1) π π =π(π+π) 2) 1, 3, 7, 15, 31,β¦
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