Arrange the following from least to greatest common difference. (least on the bottom and highest on top)(1 point)
1049, 1052, 1055, 1058...
an=-3+ (n-1) 10
-15, -4, 7, 18...
y=2x+4
To find the common difference for each sequence, we will subtract the previous term from the current term.
For the first sequence:
1052 - 1049 = 3
1055 - 1052 = 3
1058 - 1055 = 3
So, the common difference is 3 for the first sequence.
For the second sequence:
-4 - (-15) = 11
7 - (-4) = 11
18 - 7 = 11
So, the common difference is 11 for the second sequence.
The third sequence is given as a linear equation, y = 2x + 4, so there is no constant common difference.
Therefore, the sequence with the least common difference is the third sequence (y = 2x + 4), followed by the first sequence (common difference of 3), and finally the second sequence (common difference of 11).
Arranging them from least to greatest common difference:
-15, -4, 7, 18...
1049, 1052, 1055, 1058...
y=2x+4
To find the common difference for each sequence, we can use the formulas provided and calculate the difference between consecutive terms.
For the first sequence, the formula provided is an = -3 + (n-1) * 10.
To find the common difference, we calculate the difference between consecutive terms:
a2 - a1 = (-3 + (2-1) * 10) - (-3 + (1-1) * 10) = 7 - (-3) = 10
a3 - a2 = (-3 + (3-1) * 10) - (-3 + (2-1) * 10) = 18 - 7 = 11
a4 - a3 = (-3 + (4-1) * 10) - (-3 + (3-1) * 10) = 27 - 18 = 9
So for this sequence, the common differences are: 10, 11, 9.
For the second sequence, the formula provided is y = 2x + 4.
To find the common difference, we calculate the difference between consecutive terms:
(-4) - (-15) = -4 + 15 = 11
7 - (-4) = 7 + 4 = 11
18 - 7 = 11
So for this sequence, the common difference is 11.
Now we can arrange the sequences from least to greatest common difference:
For the first sequence:
10, 11, 9
For the second sequence:
11
Therefore, the arrangement from least to greatest common difference (least on the bottom and highest on top) for the given sequences is:
1049, 1052, 1055, 1058...
-15, -4, 7, 18...
y = 2x + 4
To find the common difference of a sequence, we need to look at the difference between consecutive terms.
For the first sequence: 1049, 1052, 1055, 1058...
The common difference can be found by subtracting each term from the previous term. Taking the differences, we get:
1052 - 1049 = 3
1055 - 1052 = 3
1058 - 1055 = 3
So, the common difference for this sequence is 3.
For the second sequence: -15, -4, 7, 18...
The common difference can be found by subtracting each term from the previous term. Taking the differences, we get:
-4 - (-15) = 11
7 - (-4) = 11
18 - 7 = 11
So, the common difference for this sequence is also 11.
Finally, for the equation y = 2x + 4, there is no common difference because it represents a linear equation, not a sequence.
Putting it all together, we can arrange the sequences with their common differences from least to greatest:
-15, -4, 7, 18... (common difference: 11) at the bottom
1049, 1052, 1055, 1058... (common difference: 3) in the middle
y = 2x + 4 at the top, as it is not a sequence