1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariulka [41]
3 years ago
12

A sequence of numbers consists of natural numbers that are

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Given :

A sequence of numbers consists of natural numbers that are

not perfect squares.

To Find :

The 1000th member of this  sequence .

Solution :

Now , 31^2=961 and 32^2=1024 .

So , there are 31 numbers before 1000 which are perfect square .

Therefore , the 999^{th} is 1000+31 = 1031 .

Also , the first perfect square after 1000 is 32 .

So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.

Therefore , the 1000th member of this  sequence is 1032 .

Hence , this is the required solution .

You might be interested in
The hypotenuese of an isosceles right triangle is 13 inches. The midpoints of its sides are connected to form an inscribed trian
Georgia [21]

Answer:

The Sum of the areas of theses triangles is 169/3.

Step-by-step explanation:

Consider the provided information.

The hypotenuse of an isosceles right triangle is 13 inches.

Therefore,

x^2+x^2=169\\2x^2=169\\x=\frac{13}{\sqrt{2} }

Then the area of isosceles right triangle will be: A=\frac{1}{2} x^2

Therefore the area is: A=\frac{169}{4}

It is given that sum of the area of these triangles if this process is continued infinitely.

We can find the sum of the area using infinite geometric series formula.

S=\frac{a}{1-r}

Substitute a=\frac{169}{4} \ and\ r=\frac{1}{4} in above formula.

S=\frac{\frac{169}{4}}{1-\frac{1}{4}}

S=\frac{\frac{169}{4}}{\frac{3}{4}}

S=\frac{169}{3}

Hence, the Sum of the areas of theses triangles is 169/3.

7 0
2 years ago
When measuring volume of a cone, if the line goes all the way across the base, define this current value (what is the term for t
krek1111 [17]

Answer: the line across the circle is the diameter, you find diameter by multpyling radius by two

Step-by-step explanation:

6 0
2 years ago
Slove the quadratic by factoring <br><br>x²-3x-16=-6​
creativ13 [48]

Answer:

x^(2)-3x-16=7x

Step-by-step explanation:

3 0
3 years ago
Determine whether the conditional and its converse are both true. If both are true, combine them as a biconditional. If either i
BigorU [14]
The conditional and its converse are true, and the biconditional is
An angle is a right angle if and only if its measure is 90.
6 0
3 years ago
A certain jar consists of eight green marbles, three black and eight red marbles. if three marbles are drawn at random, find the
Ivanshal [37]
7/23rds is the correct answer.
6 0
3 years ago
Other questions:
  • 7. Solve for x.<br>V<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%3F%7D%20" id="TexFormula1" title=" \sqrt{?} " alt=" \sqr
    9·1 answer
  • Kailee had $94. She paid $32 for her guitar lessons. Then she earned $14 raking leaves. How much money does Kailee have now?
    11·2 answers
  • Students are painting a mural. So far the mural is painted 1/4 blue 2/8 red and 3/12 green. Use fraction strips to determine how
    6·1 answer
  • Determine between which consecutive integers the real zeros of each function are located f(x) = 3x3 – 10x2 + 22x – 4
    15·1 answer
  • How many pennies could you have if:
    13·1 answer
  • Jerry has a credit card debt of $15,600 that he would like to reduce by applying $8,500 of his inheritance money to the balance.
    10·2 answers
  • Is -4 an even or odd numnber?
    15·1 answer
  • Solve the following quadratic by factoring.
    14·1 answer
  • Which 2 teams scored a total of 100 points, red has 29 points, yellow has 38 points, Green has 41 points, blue has 76 points ora
    15·1 answer
  • I don’t understand help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!