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: Yes, they can.
Clarification:
We have three different sides with different lengths:
These three lengths can form a triangle, an isosceles triangle.
Isosceles triangles have three different side lengths.
Hope this helps you. Best of Luck!
<h3>
Answer: 6</h3>
Explanation:
For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.
The computer takes 12.19512.... nanoseconds to perform one calculation.
<em><u>Explanation</u></em>
The computer performs 8.2× 10⁷ calculations per second.
We know that, <u>1 second = 10⁹ nanoseconds</u>.
Suppose, the computer takes nanoseconds to perform one calculation.
So, the time taken to perform 8.2× 10⁷ calculations nanoseconds.
Thus the equation will be............
So, the computer takes 12.19512.... nanoseconds to perform one calculation.
Aproxx. 90 or 89 it was to long to type so im giving you the estiment