Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
Answer:
F(-1) = 1
x = 3
Step-by-step explanation:
1) Assume that f(-1) = y1
So that point A (x1 = -1; y1) is a point lying in the graph representing the equation y = f(x)
As it can be seen in the figure, the graph representing that equation crosses point (-1; 1)
=> Point A has y1 = 1
=> f (-1) =1
2) Assume that f(x2) = -2
So that point B (x2; y2 = -2) is a point on the graphy representing the equation y = f(x)
As indicated in the figure, the graph crosses point (3; -2)
=> Point B has x2 = 3
=> When f(x) = -2, x = 3
The answer is C. 29.04
You use the Pythagorean theorem for the diagonal side because it’s a right triangle then you add all the sides and get C
Answer:
last option
Step-by-step explanation:
Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
