Arrange the following from least to greatest common difference. (least on the bottom and highest on top)(1 point) y=2x+4
1049,1052,1055,1058
a^n=-3+(n-1)10
-15,-4,7,18
For the first sequence, y = 2x + 4, we can find the common difference by subtracting consecutive terms:
1052 - 1049 = 3
1055 - 1052 = 3
1058 - 1055 = 3
Therefore, the common difference is 3.
For the second sequence, a^n = -3 + (n-1)10, we can find the common difference by subtracting consecutive terms:
(-4) - (-15) = 11
7 - (-4) = 11
18 - 7 = 11
Therefore, the common difference is 11.
Arranging them from least to greatest common difference:
Y = 2x + 4: 1049, 1052, 1055, 1058 (common difference = 3)
a^n = -3 + (n-1)10: -15, -4, 7, 18 (common difference = 11)
To arrange the given sequences from least to greatest common difference, we need to find the common difference for each sequence first.
1) For the sequence y = 2x + 4, we can find the common difference by subtracting the y-values of consecutive terms: (y2 - y1). However, since only one equation is provided (y = 2x + 4), we cannot determine the common difference accurately. Therefore, we cannot arrange this sequence.
2) For the sequence 1049, 1052, 1055, 1058, we can find the common difference by subtracting consecutive terms: (1052 - 1049 = 3) and (1055 - 1052 = 3). Since both differences are the same, the common difference for this sequence is 3.
3) For the sequence a^n = -3 + (n - 1)10, we can find the common difference by subtracting consecutive terms: (-4 - (-15) = 11) and (7 - (-4) = 11). Since both differences are the same, the common difference for this sequence is 11.
Now that we have found the common differences for the given sequences, we can arrange them from least to greatest:
-15, -4, 7, 18 (common difference = 11)
1049, 1052, 1055, 1058 (common difference = 3)
Therefore, the arranged sequences from least to greatest common difference are:
-15, -4, 7, 18
1049, 1052, 1055, 1058
To find the common difference, you need to identify the pattern and subtract each term from its adjacent term. Let's work through both sets of numbers step by step.
1) For the equation y = 2x + 4:
To find the common difference, we can see that the equation is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. The slope "m" represents the common difference in this case.
The given equation y = 2x + 4 implies that the common difference (m) is 2 since the coefficient of x is 2.
So, the common difference for y = 2x + 4 is 2.
Now let's arrange the numbers given in the problem statement in ascending order according to the equation y = 2x + 4:
1049, 1052, 1055, 1058
We can substitute the values of x in the equation y = 2x + 4 to find the corresponding y-values:
1049 => y = 2(1049) + 4 = 2102
1052 => y = 2(1052) + 4 = 2108
1055 => y = 2(1055) + 4 = 2114
1058 => y = 2(1058) + 4 = 2120
Therefore, arranging the values from least to greatest common difference would result in:
2102, 2108, 2114, 2120
2) For the equation a^n = -3 + (n - 1)10:
To find the common difference, we need to look for a pattern in the given equation. In this equation, the common difference is found by subtracting the results of a^n for adjacent values of n.
Let's find the values of a^n for the given numbers -15, -4, 7, 18:
-15^1 = -15
-4^2 = 16
7^3 = 343
18^4 = 104,976
Therefore, arranging the values from least to greatest common difference would result in:
-15, 16, 343, 104,976
I hope that helps! Let me know if there's anything else I can assist you with.