EOC Functions (Sequences)
9th Grade
•12 Qs
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EOC Functions (Sequences)
Quiz
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
Jonathan Barron
Used 4+ times
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12 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Sequences can be represented as lists, tables, graphs, or drawings.
----- ----- ----- -----
Which function represents the sequence?
(hint: the pattern is linear)
f(n) = n + 3
f(n) = 7n - 4
f(n) = 3n + 7
f(n) = n + 7
Answer explanation
Just think of the pattern as if it was a table!
----- ----- ----- -----
Final answer will look like:
f(n) = a0 + (d)(n)
----- ----- ----- -----
Step 1: Find "d"
Subtract an values backwards
I will pick last two numbers
d = 31 - 24 = 7
----- ----- ----- -----
Step 2: Find "a0"
Only one answer choice has correct "d" value so we don't need to find "a0" value here
----- ----- ----- -----
f(n) = -4 + 7n
f(n) = 7n - 4
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Sequences can be represented as lists, tables, graphs, or drawings.
----- ----- ----- -----
Which function represents the sequence?
(hint: the pattern is linear)
f(n) = n + 3
f(n) = 7n - 4
f(n) = 3n + 7
f(n) = n + 7
Answer explanation
Final answer will look like:
f(n) = a0 + (d)(n)
----- ----- ----- -----
Step 1: Find "d"
Subtract an values backwards
I will pick last two numbers
d = 31 - 24 = 7
----- ----- ----- -----
Step 2: Find "a0"
Only one answer choice has correct "d" value so we don't need to find "a0" value here
----- ----- ----- -----
f(n) = -4 + 7n
f(n) = 7n - 4
3.
MULTIPLE SELECT QUESTION
3 mins • 1 pt
Sequences can be represented as lists, tables, graphs, or drawings.
----- ----- ----- -----
Which two functions represent the sequence?
(hint: the pattern is linear)
f(n) = n + 3
f(n) = 7n - 4
f(n) = 3 + 7(n - 1)
f(n) = 7 + 3(n - 1)
Answer explanation
Final answer will look like:
f(n) = a0 + (d)(n)
f(n) = a1 + (d)(n - 1)
----- ----- ----- -----
We already found one answer
f(n) = a0 + (d)(n)
f(n) = -4 + 7n
----- ----- ----- -----
Find second answer
f(n) = a1 + (d)(n - 1)
f(n) = 3 + 7(n - 1)
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Sequences can be represented as lists, tables, graphs, or drawings.
----- ----- ----- -----
Which function represents the sequence?
(hint: the pattern is linear)
f(n) = 3n + 3
f(n) = 3n + 0
f(n) = n + 3
f(n) = n + 3
Answer explanation
Just think of the pattern as if it was a table!
----- ----- ----- -----
Final answer will look like:
f(n) = a0 + d(n)
----- ----- ----- -----
Step 1: Find "d"
Subtract sequence values backwards
I will pick last two numbers
d = 15 - 12 = 3
----- ----- ----- -----
Step 2: Find "a0"
Work backwards to find f(0)
f(0) = f(1) - (d)
f(0) = (3) - (3) = 0
----- ----- ----- -----
f(n) = 0 + 3n
f(n) = 3n + 0
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Sequences can be represented as lists, tables, graphs, or drawings.
----- ----- ----- -----
Which function represents the sequence?
(hint: the pattern is linear)
f(n) = 3n + 3
f(n) = 3n + 0
f(n) = n + 3
f(n) = n + 3
Answer explanation
Final answer will look like:
f(n) = a0 + d(n)
----- ----- ----- -----
Step 1: Find "d"
Subtract sequence values backwards
I will pick last two numbers
d = 15 - 12 = 3
----- ----- ----- -----
Step 2: Find "a0"
Work backwards to find f(0)
f(0) = f(1) - (d)
f(0) = (3) - (3) = 0
----- ----- ----- -----
f(n) = 0 + 3n
f(n) = 3n + 0
6.
MULTIPLE SELECT QUESTION
3 mins • 1 pt
Sequences can be represented as lists, tables, graphs, or drawings.
----- ----- ----- -----
Which two functions represent the sequence?
(hint: the pattern is linear)
f(n) = 3n + 3
f(n) = 3n + 0
f(n) = 3 + 3(n - 1)
f(n) = n + 3
Answer explanation
Final answer will look like:
f(n) = a0 + d(n)
f(n) = a1 + d(n - 1)
----- ----- ----- -----
We already found one answer
f(n) = a0 + d(n)
f(n) = 0 + 3n
----- ----- ----- -----
Find second answer
f(n) = a1 + d(n - 1)
f(n) = 3 + 3(n - 1)
7.
MATH RESPONSE QUESTION
3 mins • 1 pt
Sequences can be represented as lists, tables, graphs, or drawings.
----- ----- ----- -----
Which is the value of the 44th term?
(hint: the pattern is linear)
Mathematical Equivalence
ON
Answer explanation
Find function, then solve:
f(n) = a1 + (d)(n - 1)
----- ----- ----- -----
Step 1: Find "d"
Subtract y values backwards
I will pick last two numbers
d = 20 - 28 = -8
----- ----- ----- -----
Step 2: Find "a1"
f(1) = 44 = a1
----- ----- ----- -----
Step 3: Solve for n = 44
f(n) = a1 + (d)(n - 1)
f(n) = 44 + (-8)(n - 1)
f(44) = 44 + (-8)(44 - 1)
f(44) = -300
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