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3 years ago

Can you write a summation notation of a series that is neither arithmetic nor geometric?

Mathematics

1 answer:

nlexa [21]3 years ago

6 0

Answer:

Yes, we can.

Step-by-step explanation:

Hello, I found this one.

$\displaystyle \sum_{n=0}^{\infty} \dfrac{1}{n!}$

We can prove that it exists and it is equal to e.

But this is nor arithmetic nor geometric.

Thank you

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If f(x) = x² + 7, what is the value of f(4)?

dalvyx [7]

Value of f(4) is $f(4)= 23$ given $f(x)= x^2+7$

Step-by-step explanation:

We are given $f(x)= x^2+7$ and we need to find value of f(4)

Solving:

We will put x=4 and solve the given equation:

$f(x)= x^2+7$

$f(4)= (4)^2+7$

We know (4)^2=16

$f(4)= 16+7$

$f(4)= 23$

So, Value of f(4) is $f(4)= 23$ given $f(x)= x^2+7$

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

4 0

3 years ago

5 1/6•(-2/5)=<br> Answer as a fraction

lapo4ka [179]

-31/15 is the correct answer

6 0

3 years ago

The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.

Olin [163]

Answer:

$h = 5\ cm$

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

$h = B-5$ .

The area of the triangle is 25 cm²

By definition the area of a triangle is:

$A = 0.5Bh$

For this triangle we know that $A = 25\ cm^2$ and $h = B-5$ . We substitute these values in the equation and solve for B.

$25 = 0.5B (B-5)$

$0.5B ^ 2-\frac{5}{2}B-25 = 0$

Now we use the quadratic formula to solve the equation.

For an equation of the form $ax ^ 2 + bx + c = 0$ the quadratic formula is:

$B=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case note that: $a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25$

Then:

$B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}$

$B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}$

$B=\frac{5}{2}\±\frac{15}{2}$

The solutions are:

$B_1=\frac{5}{2}+\frac{15}{2}=10$

$B_2=\frac{5}{2}-\frac{15}{2}=-5$

For this problem we take the positive solution.

$B=10\ cm$

Now we substitute the value of B in the equation to find the height h

$h = 10-5$

$h = 5\ cm$

6 0

3 years ago

Origin, one of the four characteristics of mapping rules, refers to _____. the use of a number that is not used again the use of

labwork [276]

Answer:

the use of a series of numbers with a unique origin indicated by the number zero.

Step-by-step explanation:

In Science, mapping experiment refers to an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Origin, one of the four characteristics of mapping rules, refers to the use of a series of numbers with a unique origin indicated by the number zero.

In Mathematics, the origin is generally chosen to start from zero on a graph that gives the relationship between two variables.

4 0

3 years ago

What is the mean for 2,7,3,7,9

ale4655 [162]

Simple add them all 2+7+3+7+9 is 28 then divide 28 by the amount of numbers (5) to get 5.6 or if you are rounding to the nearest number 6... Hope this helped ;)

6 0

3 years ago

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