Name that Sequence! (definitions)
What is an arithmetic sequence?
1 2 4 8 16 32 64 128 ...
What is the binary sequence?
1 1 2 3 5 8 ___ 21 34 ...
What is 13?
The formula for any arithmetic sequence.
What is tn = t1 + (n-1)(d)?
Each successive term is found by multiplying by the same number--called the common ratio.
What is a geometric sequence?
1 4 9 16 25 ...
What is the sequence of squares?
___ 8 27 64 125 ...
What is 1?
The formula for any geometric sequence.
What is tn = t1 * rn-1?
A special geometric sequence with a first term of 1 and a common ratio of 2.
What is the binary sequence?
1 8 27 64 125 ...
What is the sequence of cubes?
3 11 ___ 27 35 ...
An arithmetic sequence with a first term of 11 and a common difference of 12.
What is tn = 11 + (n-1)(12)?
The first two terms are 1 and each successive term is the sum of the preceding pair of terms.
What is the Fibonacci sequence?
34 46 58 70 82 ...
What is an arithmetic sequence?
5 30 180 ____ ...
What is 1,080?
The formula for the sequence:
2, 8, 32, 128 ...
What is tn = 2 * 4n-1?
The terms are found by raising the consecutive counting numbers to the same power.
What are power sequences? (ie. the sequence of squares, the sequences of cubes)
13 39 117 351 ...
What is a geometric sequence?
15 65 115 165 ___ 265 ...
What is 215?
100 93 86 79 72 ...
and the 15th term of the sequence.
What is...
tn=100 + (n-1)(-7)
t15=100 + (14)(-7) = 100 + -98 = 2