The range of function is: {-7,1,5}
Step-by-step explanation:
Given function is:
Also the domain: {-2,0,1}
In order to find the range,, we have to put the domains values in the function
So,
Putting x = -2
Putting x = 0
Putting x = 1
Hence,
The range of function is: {-7,1,5}
Keywords: domain, range
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Answer:
- d, series and sequence diverge
- d, geometric/divergent
- c, e (geometric, |r|<1)
Step-by-step explanation:
<h3>1.</h3>
The sequence terms have a common difference of -5/8. That make it a non-trivial arithmetic sequence, so it diverges.
The series is the sum of terms of the sequence. Any non-trivial arithmetic series diverges.
(A "trivial" arithmetic series has a first term of 0 and a common difference of 0. It is the only kind of <em>arithmetic</em> series that doesn't diverge.)
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<h3>2.</h3>
The terms of the series have a common ratio of -2. That makes it a geometric series. The ratio magnitude is greater than 1, so the series diverges.
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<h3>3.</h3>
A sequence will converge only if the terms have a common difference of 0 or a common ratio with a magnitude less than 1. Of the offered choices, only C and E will converge:
c. geometric, r = 3/5
e. geometric, r = -1/6
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<em>Additional comment</em>
The convergence criteria stated for problem 3 applies only to arithmetic and geometric sequences. There are many other kinds of sequences that converge, but these are the kinds being considered in this problem set.
Total 36 outcomes are possible on rolling two dices simultaneously
A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment
A dice has 6 possibilities (1,2,3,4,5,6) , thus two when dices thrown together will have 36 outcomes in it's sample space. It's sample space is shown in picture attached below.
Learn more about Sample Space here :
brainly.com/question/24273864
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A perfect square is a number which contains a a factor that involves a number multiplied by itself. You could also say a perfect square, when taken the square root of such a number, involves a whole number answer. Either explanation would work, and there are surely mainly more haha. 25 is the perfect square because 5×5 is a factor of 25, while 50 doesn't have a factor of the same numbers.
