11 49 36 25 4 7 4 3 Inductive Reasoning 1 2 3 4 5 6 … n … 20 0 3 10 21 36 55 … ? … ?
1SimpleNWierdSequences
Jun 27, 2015
Practice inductive reasoning
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114936254
743
Inductive Reasoning
1 2 3 4 5 6 … n … 20
0 3 10 21 36 55 … ? … ?
Sequences
Terms: 4, 5, 6, 7, 8 …
Terms: A, C, E, G, …
2, 4, 6, 8, 10, ___, ____
Find the next 2 terms.
5, 10, 15, 20, 25, ___, ____
4, 8, 12, 16, 20, ___, ____
Add two to the previous term.
12 14
Add 4 to the previous term.
24 28
30 35
Add 5 to the previous term.
1, 3, 5, 7, 9, ___, ____
Find the next 2 terms.
3, 5, 7, 9, 11, ___, ____
1, 4, 9, 16, 25, ___, ____
Add 2 to the previous term.
Add 3, 5, 7, 9, ...
11 13
36 49
13 15
Add 2 to the previous term.
1, .5, .33, .25, ____, ____
Find the next 2 terms.
1, 8, 27, 64, ____, ____
10, 5, 2.5, 1.25, ____, ____
.2 .166
.625 .3125
125 216
Perfect cubes of the counting numbers
Half the previous term
1 1 1 1, , , ,...1 2 3 4
10, 21, 32, 43, ____, ____
Find the next 2 terms.
16, 25, 36, 49, ____, ____
15, 19, 23, 27, ____, ____
54 65
31 35
64 81
Add 11 to the previous term.
Add 4 to the previous term.
Add 9, 11, 13, 15, 17 …
9, 16, 21, 24, ____, ____
Find the next 2 terms.
16, 17, 19, 22, ____, ____
3, 32, 321, 3213, ____, ____
25 24
32132 321321
26 31
Add 7, 5, 3, 1, -1, -3 …
3, 32, 321, and repeat as add on.
Add 1, add 2, add 3, …
Weird Sequences
A, C, E, G, ___
1, 2, 3, 5, 8, 13, ___
O, T, T, F, F, S, S, E, ___
I
N
21
Skip every other letter
First letter of each counting number
Fibbonacci Sequence: Add the previous 2 terms.
Weird Sequences 0, .5, .67, .75, .8, ____
1, 1.141, 1.73, 2, 8, 2.24, ___
4, 6, 8, 9, 10, 12, 14, ___
.833
11 13
16
Add 2, then 2, then 1, then 1, then 2, then 2, …
0 1 2 3, , , ,...1 2 3 4
1, 2 , 3 , 4 , 5 ,...
Weird Sequences
1, 2, 5, 20, 50, 100, ____
A, E, F, H, I, K, L, M, ___
A, K, Q, J, ___
200
10
N
Numbers on dollar bills.
Letters that are not curved.
Add 2 to the previous term.
Weird Sequences
8, 5, 4, 9, 1, 7, 6, ____
B, C, D, G, J, ___
60, 90, 108, 120, ___
3
O
128.6
digits in alphabetical order
Curved letters
Interior angles of regular polygons
SummarySometimes the gaps between terms are constant.
Sometimes the gaps between terms increase at a pattern.
Sometimes the next term is a multiple of the previous term. If so, this can be seen by dividing a term by the previous term.
SummaryThe purpose of these exercises is to get practice at recognizing patterns.
Sometimes the patterns are bizzare.
It is not necessary to be able to find all the patter.
C’est fini.Good day and good luck.
A Senior Citizen Production
That’s all folks.
C’est fini.
Good day and good luck.