Patterns and Sequences

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Patterns and Sequences
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Patterns and Sequences
Patterns refer to usual types of procedures or
rules that can be followed. Patterns are useful
to predict what came before or what might come
after a set a numbers that are arranged in a
particular order. This arrangement of numbers is
called a sequence. For example 3,6,9,12 and 15
are numbers that form a pattern called a
sequence The numbers that are in the sequence are
called terms.
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Patterns and Sequences

• Arithmetic sequence (arithmetic progression) A
  sequence of numbers in which the difference
  between any two consecutive numbers or
  expressions is the same.
• Geometric sequence A sequence of numbers in
  which each term is formed by multiplying the
  previous term by the same number or expression.

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Arithmetic Sequence
Find the next three numbers or terms in each
pattern.
Look for a pattern usually a procedure or rule
that uses the same number or expression each time
to find the next term. The pattern is to add 5
to each term.
The next three terms are
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Arithmetic Sequence
Find the next three numbers or terms in each
pattern.
Look for a pattern usually a procedure or rule
that uses the same number or expression each time
to find the next term. The pattern is to add the
integer (-3) to each term.
The next three terms are
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Geometric Sequence
Find the next three numbers or terms in each
pattern.
Look for a pattern usually a procedure or rule
that uses the same number or expression each time
to find the next term. The pattern is to
multiply 3 to each term.
The next three terms are
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Geometric Sequence
Find the next three numbers or terms in each
pattern.
Look for a pattern usually a procedure or rule
that uses the same number or expression each time
to find the next term. The pattern is to divide
by 2 to each term.
Note To divide by a number is the same as
multiplying by its reciprocal. The pattern for a
geometric sequence is represented as a
multiplication pattern. For example to divide by
2 is represented as the pattern multiply by ½.
The next three terms are
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Geometric Sequence
Find the next three expressions or terms in each
pattern.
Look for a pattern usually a procedure or rule
that uses the same number or expression each time
to find the next term. The pattern is to
multiply by 2 to each term or expression.
The next three terms are
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Arithmetic Sequence
Find the next three expressions or terms in each
pattern.
Look for a pattern usually a procedure or rule
that uses the same number or expression each time
to find the next term. The pattern is to add
2m3 to each term or expression.
The next three terms are