CF1i - Constructing Sequences from 2nd Differences
The fourth and fifth term of a sequence are 14 and 20.
If the second difference are a constant 1, what are the
first five terms of the sequence?
the sequence
first difference
second difference
Drag and drop the numbers where they belong
Step 1: Identify & place the 4th & 5th terms.
1st
2nd
3rd
14
?
4th
5th
20
?
The fourth and fifth term of a sequence are 14 and 20.
If the second difference are a constant 1, what are the
first five terms of the sequence?
the sequence
first difference
Step 2: Identify & place the constant 2nd difference.
second difference
Drag and drop the numbers where they belong
1st
2nd
1
?
3rd
1
?
14
4th
1
?
5th
20
The fourth and fifth term of a sequence are 14 and 20.
If the second difference are a constant 1, what are the
first five terms of the sequence
the sequence
first difference
second difference
Drag and drop the numbers where they belong
Step 3: Complete the rest of the problem
1st
2
?
3
?
2nd
1
5
?
4
?
3rd
9
?
1
5
?
14
4th
1
6
?
5th
20
The fourth and fifth term of a sequence are 21 and 29.
If the second difference are a constant 2, what are the
first five terms of the sequence?
the sequence
first difference
second difference
Drag and drop the numbers where they belong
Step 1: Identify & place the 4th & 5th terms.
1st
2nd
3rd
21
?
4th
5th
29
?
The fourth and fifth term of a sequence are 21 and 29.
If the second difference are a constant 2, what are the
first five terms of the sequence?
the sequence
first difference
Step 2: Identify & place the constant 2nd difference.
second difference
Drag and drop the numbers where they belong
1st
2nd
2
?
3rd
2
?
14
4th
2
?
5th
20
The fourth and fifth term of a sequence are 21 and 29.
If the second difference are a constant 2, what are the
first five terms of the sequence
the sequence
first difference
second difference
Drag and drop the numbers where they belong
Step 3: Complete the rest of the problem
1st
9
?
2
?
2nd
2
11
?
4
?
3rd
15
?
2
6
?
21
4th
2
8
?
5th
29
The fourth and fifth term of a sequence are 49 and 64.
If the second difference are a constant 2, what are the
first five terms of the sequence?
the sequence
first difference
second difference
Drag and drop the numbers where they belong
Step 1: Identify & place the 4th & 5th terms.
1st
2nd
3rd
49
?
4th
5th
64
?
The fourth and fifth term of a sequence are 49 and 64.
If the second difference are a constant 2, what are the
first five terms of the sequence?
the sequence
first difference
Step 2: Identify & place the constant 2nd difference.
second difference
Drag and drop the numbers where they belong
1st
2nd
2
?
3rd
2
?
49
4th
2
?
5th
64
The fourth and fifth term of a sequence are 49 and 64.
If the second difference are a constant 2, what are the
first five terms of the sequence
the sequence
first difference
second difference
Drag and drop the numbers where they belong
Step 3: Complete the rest of the problem
1st
16
?
9
?
2nd
2
25
?
11
?
3rd
36
?
2
13
?
49
4th
2
15
?
5th
64
The fourth and fifth term of a sequence are 21 and 32.
If the second difference are a constant 3, what are the
first five terms of the sequence
the sequence
first difference
second difference
Drag and drop the numbers where they belong
Put it all together:  Answer the question by
completing the above graphic organizer.
1st
6
?
2
?
2nd
3
?
8
?
5
?
3rd
13
?
3
?
8
?
21
?
4th
3
?
11
?
5th
32
?
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