MATHEMATICS 10; Unit 1: Arithmetic Sequences and Series

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.