Sequences
Day 1
Name:
Explain the pattern in each sequence of numbers if there is a pattern. If there is a pattern, identify the next two terms.
1.
3, 8, 13, 18, …
2. 6, 9, 13, 17, …
3. 13, 11, 9, 7, …
4. 3, 12, 48, 192, …
5. -3, -6, -12, -24, …
6. 7, -21, 63, -189, …
7. 2, 4, 8, 12, …
Sequences
Day 1
Name:
Explain the pattern in each sequence of numbers if there is a pattern. If there is a pattern, identify the next two terms.
1.
3, 8, 13, 18, …
2. 6, 9, 13, 17, …
3. 13, 11, 9, 7, …
4. 3, 12, 48, 192, …
5. -3, -6, -12, -24, …
6. 7, -21, 63, -189, …
7. 2, 4, 8, 12, …
Day 2 – Arithmetic Sequences
Name:
Arithmetic sequences have an additive rate of change. This change is called the common difference. From Day 1,
problems 1 and 3 are arithmetic sequences. The formula for an arithmetic sequence is
A(n) = A(1) + (n - 1)d
A(n) = the nth term
A(1) is the first term
n is the term number
d is the common difference (rate of change)
Write each sequence in the formula and find the 12th term of the sequence using the formula.
1. 3, 8, 13, 18, …
2. 13, 11, 9, 7, …
Day 2 – Arithmetic Sequences
Name:
Arithmetic sequences have an additive rate of change. This change is called the common difference. From Day 1,
problems 1 and 3 are arithmetic sequences. The formula for an arithmetic sequence is
A(n) = A(1) + (n - 1)d
A(n) = the nth term
A(1) is the first term
n is the term number
d is the common difference (rate of change)
Write each sequence in the formula and find the 12th term of the sequence using the formula.
1. 3, 8, 13, 18, …
2. 13, 11, 9, 7, …
Day 3 – Geometric Sequences
Name:
Geometric sequences have a multiplicative rate of change. This change is called the common ratio. From Day 1,
problems 4 and 5 are geometric sequences. The formula for a geometric sequence is
A(n) = a·r n-1
A(n) = the nth term
a is the first term
n is the term number
r is the common ratio (rate of change)
Write each sequence in the formula and find the 12th term of the sequence using the formula.
1. 3, 12, 48, 192, …
2. -3, -6, -12, -24, …
Day 3 – Geometric Sequences
Name:
Geometric sequences have a multiplicative rate of change. This change is called the common ratio. From Day 1,
problems 4 and 5 are geometric sequences. The formula for a geometric sequence is
A(n) = a·r n-1
A(n) = the nth term
a is the first term
n is the term number
r is the common ratio (rate of change)
Write each sequence in the formula and find the 12th term of the sequence using the formula.
1. 3, 12, 48, 192, …
2. -3, -6, -12, -24, …
Day 4 – Practice Arithmetic and Geometric Sequences
Name:
Determine if each sequence is arithmetic, geometric, or neither. If the sequence is arithmetic or geometric, write the
correct formula for the sequence and calculate the 25th term.
1.
10, 8, 6, 4, …
2. 15, 14.5, 14, 13.5, …
3. 10, 24, 36, 52, …
4. -2, 4, -8, 16, …
5. 18, 9, 4.5, 2.25, …
6. 2, 4, -8, -16, …
Day 4 – Practice Arithmetic and Geometric Sequences
Name:
Determine if each sequence is arithmetic, geometric, or neither. If the sequence is arithmetic or geometric, write the
correct formula for the sequence and calculate the 25th term.
1.
10, 8, 6, 4, …
2. 15, 14.5, 14, 13.5, …
3. 10, 24, 36, 52, …
4. -2, 4, -8, 16, …
5. 18, 9, 4.5, 2.25, …
6. 2, 4, -8, -16, …