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Masteriza [31]
3 years ago
13

Identify the type of sequence shown in the table below and select the appropriate response. n f(n) 1 540 2 500 3 460 4 420 5 380

arithmetic sequence; common difference is −40 arithmetic sequence; common difference is 40 geometric sequence; common ratio is −40 geometric sequence; common ratio is 40
Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0

Answer:

arithmetic sequence; common difference is −40

Step-by-step explanation:

An arithmetic sequence is a sequence in which each term is found by adding a constant, called the common difference, to each previous term.

In this sequence, we go from 540 to 500 to 460, etc.  Each time we are subtracting 40.  This is the same as adding -40; this makes the sequence arithmetic.

Evgen [1.6K]3 years ago
4 0
The answer is the first one; it is an arithmetic sequence with a common difference of -40.
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7 0
2 years ago
Please HELP!!!!
Karolina [17]

Answer:


Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

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3 years ago
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saveliy_v [14]

Answer:

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