2. How Well do you Know
Me? Determine whether
each sequence is
arithmetic, geometric, or
harmonic. Then, give the
next term of each
sequence.
10
seconds
13. 1.What is a Fibonacci
sequence?
2. How do you distinguish
them from other types of
sequence?
14. A Fibonacci sequence is a
sequence where its first two
terms are either both 1, or 0 and
1; and each term, thereafter, is
obtained by adding the two
preceding terms.
Example:
0, 1, 1,
2, 3,
5, …
23. Arithmetic Sequence is a
sequence where each term
after the first is obtained by
adding a constant called
common difference.
Example:
3,7,11
,15,…
24. Geometric Sequence is a
sequence where each
term after the first is
obtained by multiplying a
constant called common
ratio.
Example:
3,9,27
,81,24
3,…
25. Harmonic sequence is
a sequence such that
the reciprocals of the
terms form an
arithmetic sequence.
Example:
If we take the
reciprocals of
the terms of the
harmonic
sequence
½,1/4,1/6,/1/8…
then the
sequence
becomes 2, 4, 6,
8, ... which is an
arithmetic
sequence.
26. A Fibonacci sequence is a
sequence where its first two
terms are either both 1, or 0 and
1; and each term, thereafter, is
obtained by adding the two
preceding terms.
Example:
0, 1, 1,
2, 3,
5, …
