Need this answer asap giveing 20 points!

Mathematics

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katen-ka-za [31]3 years ago

6 0

Answer:

ok um what’s the question?

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The sum of the reciprocals of the first four consecutive positive integers is greater than two. What is the least number of cons

Anastaziya [24]

The least number of consecutive positive integer that is required to make the sum of the reciprocals greater than three is 7.

<h3>What is an integer?</h3>

An integer is simply a number that is not a fraction.

The first four consecutive positive integers are:

1, 2, 3 , 4.

Their reciprocals are:

1/1, 1/2, 1/3, 1/4; and

The sum of them are greater than 2; that is

1/1 + 1/2 + 1/3 + 1/4 = 2.08333333333 > 2

to make the expression >3

We would require the following integers

1/1 + 1/2 + 1/3 + 1/4+ (1/5) + (1/6) + (1/7) + (1/8)+ (1/9) + (1/10) + (1/11) = 3.01987734488

Thus, the additional consecutive reciprocal integers that is required to make the sum of the reciprocal of the fist four greater than 3 is 7.

Learn more about reciprocals at:
brainly.com/question/673545

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4 0

2 years ago

Consider the first five terms of the sequence 3, 15, 75, 375, 1875, … If the sequence defines a function, what is a reasonable d

matrenka [14]

Answer:

<h2>A reasonable domain is all natural numbers.</h2>

Step-by-step explanation:

Notice that the sequence begins with 3, and it's an infinite sequence, that's the meaning of the three points at the end.

So, a reasonable domain to this sequence, as function, it's all real numbers which follows the rule $f(x)=3(5)^{x-1}$ . In other words, the given sequence represents the range of the function, and the domain is defined by the number of terms, where the first term is 3, the second term is 15, and so on.