MATHEMATICS 10; Unit 1: Arithmetic Sequences and Series
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Suppose you are given an arithmetic sequence that begins with the terms 1,3,5,7,9,⋯. What is the 100th term of this sequence?
199
recursive
A formula may also be what?, (where the value of each term is expressed in terms of the preceding terms and the first term, or the seed).
Explicit
A formula to find the nth term may be what? (which gives the value of the term depending on its location in the sequence).
Term
Each value in a sequence.
Series
The sum of the terms in a sequence.
How is each term of the sequence 13,8,3,−2,−7,⋯ related to the previous term?
each term after the first is 5 less than the previous term.
a₁+a₂+a₃...+aₙ
example of series
Sequence
is a set of values that follow a particular order. It can be finite or infinite.
