Unit 1 Patterns & Sequences: Che
Name (First & Last): _______________________
Block: _____
Team: ___________________ Unit 1 Patterns & Sequences: Checkpoint 5 – All About Sequences In each of the problems below I share some of the information that I know about a sequence. Your job is to add all the things that you know about the sequence from the information that I have given. 1. The first term of the sequence is 5 and the common ratio is -2. a. Type of sequence (arithmetic, geometric, or neither): _____________________
b. What is the initial value?
c. Draw a t-table: n
f(n)
d. Write a recursive function for the sequence.
e. Write an explicit function for the sequence.
2. A car that originally cost $26,500, but loses 10% of its value each year.
a. Draw a t-table: n
f(n)
b. What is the initial value?
c. Is there a common difference or common ratio? If so, what is it?
d. Type of sequence (arithmetic, geometric, or neither): _____________________ e. Write a recursive function for the sequence.
f. Write an explicit function for the sequence.
3. The first term of the sequence is -2, and the fifth term is − a. Draw a t-table: n
f(n)
1 8
b. What is the initial value?
c. Is there a common difference or common ratio? If so, what is it?
d. Type of sequence (arithmetic, geometric, or neither): _____________________ e. Write a recursive function for the sequence.
f. Write an explicit function for the sequence.
Circle the emoji that best expresses how you felt about this practice.
Block: _____
Team: ___________________ Unit 1 Patterns & Sequences: Checkpoint 5 – All About Sequences In each of the problems below I share some of the information that I know about a sequence. Your job is to add all the things that you know about the sequence from the information that I have given. 1. The first term of the sequence is 5 and the common ratio is -2. a. Type of sequence (arithmetic, geometric, or neither): _____________________
b. What is the initial value?
c. Draw a t-table: n
f(n)
d. Write a recursive function for the sequence.
e. Write an explicit function for the sequence.
2. A car that originally cost $26,500, but loses 10% of its value each year.
a. Draw a t-table: n
f(n)
b. What is the initial value?
c. Is there a common difference or common ratio? If so, what is it?
d. Type of sequence (arithmetic, geometric, or neither): _____________________ e. Write a recursive function for the sequence.
f. Write an explicit function for the sequence.
3. The first term of the sequence is -2, and the fifth term is − a. Draw a t-table: n
f(n)
1 8
b. What is the initial value?
c. Is there a common difference or common ratio? If so, what is it?
d. Type of sequence (arithmetic, geometric, or neither): _____________________ e. Write a recursive function for the sequence.
f. Write an explicit function for the sequence.
Circle the emoji that best expresses how you felt about this practice.
