Substituting the given values for x into the expression 2x - 1, we have:
When x = 1:
2(1) - 1 = 1
When x = 2:
2(2) - 1 = 3
When x = 3:
2(3) - 1 = 5
When x = 4:
2(4) - 1 = 7
The first four terms of the sequence are 1, 3, 5, and 7.
To determine the type of sequence, we can observe the differences between successive terms.
The difference between the first and second terms is 3 - 1 = 2.
The difference between the second and third terms is 5 - 3 = 2.
The difference between the third and fourth terms is 7 - 5 = 2.
Since the differences between the terms are constant, this sequence is an arithmetic sequence.
Therefore, the answer is:
b) Arithmetic
Type the first 4 terms of the sequence represented by the expression: 2x - 1 (start by substiting 1 in for x, then 2, then 3, and then 4)
? ? ? ?
What type of sequence is this?
1 Pt
a) Geometric
b) Arithmetic
c) Neither
7 answers
Question #2 - Choose (Click and Drag) a graph from the 2 provided. Write a 3-5 sentence story or scenario describing your graph using at least 4 of the words from the word bank. Highlight or underline the words in your story
The slop I chose was
The first point 0,0
Second point 2,3
Third point 5,3
Fourth point 7,7
Fifth point 8,7
Sixth point 9,6
Seventh point 12,6
Eighth point 14,4
Ninth point 16,4
Tenth point 18,8
Eleventh point 19,8
Twelfth point 0,20
The slop I chose was
The first point 0,0
Second point 2,3
Third point 5,3
Fourth point 7,7
Fifth point 8,7
Sixth point 9,6
Seventh point 12,6
Eighth point 14,4
Ninth point 16,4
Tenth point 18,8
Eleventh point 19,8
Twelfth point 0,20
I chose a graph with a positive slope. Starting at the point (0,0), the graph increases steadily as it passes through the second point (2,3). However, it levels off at (5,3) and remains horizontal until reaching (7,7) where it begins to increase again. The graph reaches its highest point at (0,20) before decreasing. Along the way, there are points where the y-coordinate remains the same, such as (8,7), (12,6), and (16,4). The graph ends at (19,8) after a series of fluctuations.
Question #2 - Choose (Click and Drag) a graph from the 2 provided. Write a 3-5 sentence story or scenario describing your graph using at least 4 of the words from the word bank. Highlight or underline the words in your story
The slop I chose was
The first point 0,0
Second point 3,2
Third point 3,5
Fourth point 7,7
Fifth point 7,8
Sixth point 6,9
Seventh point 6,12
Eighth point 4,14
Ninth point 4,16
Tenth point 8,18
Eleventh point 8,19
Twelfth point 20,0
The slop I chose was
The first point 0,0
Second point 3,2
Third point 3,5
Fourth point 7,7
Fifth point 7,8
Sixth point 6,9
Seventh point 6,12
Eighth point 4,14
Ninth point 4,16
Tenth point 8,18
Eleventh point 8,19
Twelfth point 20,0
I chose a graph with a negative slope. Starting at the point (0,0), the graph decreases slightly before sharply declining at the second point (3,2). It continues to decrease as it reaches (3,5) and (7,7). However, after the fourth point, the graph starts to level off. It maintains a relatively constant value as it passes through points like (6,9) and (4,14). Towards the end, there is a sudden increase at the tenth and eleventh points (8,18) and (8,19), before the graph reaches its lowest point at (20,0).
Question 3: Two students evaulated functions with a given input and their work is shown below. One student's is incorrect. Analyze their work to determine which student's work is incorrect and describe the mistake(s) made. Use the box below for you explanation.
Function Rule: f(x) = 2+7x
Student 1:
f(-1) = 2 + 7 (-1)
f(-1) = 9 (-1)
f(-1) = -9
Student 2:
f(-1)= 2 + 7 (-1)
f(-1) = 2 -7
f(-1) = -5
Function Rule: f(x) = 2+7x
Student 1:
f(-1) = 2 + 7 (-1)
f(-1) = 9 (-1)
f(-1) = -9
Student 2:
f(-1)= 2 + 7 (-1)
f(-1) = 2 -7
f(-1) = -5
Student 1's work is incorrect. The mistake they made is in the second line of their work. Instead of multiplying 7 by -1, they mistakenly multiply 9 by -1. This results in an incorrect value of -9 for f(-1).
Student 2's work is correct. They correctly substituted -1 into the given function rule and multiplied 7 and -1 to obtain the value -7. Adding 2 to -7 gives the correct value of -5 for f(-1).
Student 2's work is correct. They correctly substituted -1 into the given function rule and multiplied 7 and -1 to obtain the value -7. Adding 2 to -7 gives the correct value of -5 for f(-1).