Which of the following sequences of numbers are arithmetic sequences?
Answers
Answer:
C), D) and E)
Step-by-step explanation:
First let's see what an arithmetic sequence is.
A arithmetic sequence is series of numbers where the difference between the successive terms must be a constant.
For example,
2, 4, 6, 8, 10.....
If you find the difference between the successive terms, it will be the same constant.
4 -2 = 2
6 -4 = 2
8 -6 = 2
This is called arithmetic sequence.
A and B are not the arithmetic sequence. The different is not the same constant.
C) 345, 346, 347, 348, 349....
Difference = 1 between the two successive terms.
So it is an arithmetic sequence.
D) 54, 71, 88, 105, 122...
Difference = 71 - 54 = 17
88 - 71 = 17
So it is an arithmetic sequence.
E) -3, -10, -17, -24, -31...
Difference = -10 -(-3) = -10 + 3 = -7
Difference of -10 and -17 is -17 -(-10) = -17 +10 = -7
So it is an arithmetic sequence.
Answer: C), D) and E)
A:no
B:no
C,D,E :yes
All you have to do : is the difference of next term and the term must be constant.
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Answers
The solution is in the pdf file attached. Please, let me know if you can follow the steps.
the answer is C
Step-by-step explanation:
B. 40 inches by 64 inches
C. 40 inches by 80 inches
D. 40 inches by 102.4 inches
Answers
Condition of the task is:
a:b = 1.6:1
a = 1.6*b
Now we implement this in surface formula
S = 1.6*b^2
and calculate "b"
b = 40
a = 1.6*40 = 64
Answer is B.
Answers
Answer:
32
Step-by-step explanation:
5c + 2, if c = 6
5(6) + 2
30 + 2
= 32
Answers
Answer:
y=7x−16 the answer ;)
y = 3x + 5
3x - y = 5
Answers
Answer:
Step-by-step explanation:
Substitute our first equation into the second equation. We are given y, so this is ideal of substitution method.
y = 3x + 5
3x - y = 5
3x - (3x + 5) = 5
3x - 3x - 5 = 5
-5 = 5
There is no solution for the system because after solving, the sides of the equation are not equal. We can further check this by writing the second equation in a "y = mx + b form, or slope-intercept form. This well tell use about the graphs of the equations.
3x - y = 5
-y = -3x + 5
y = 3x -5
When comparing with the first equation, we can see that the slope is 3 for both lines, but the y-intercept is different. This means we have two parallel lines that cross the y-axis at (0, 5) and (0, -5). From this, one can conclude there is no solution because parallel lines with different y-intercepts will never cross.