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3 years ago

Find the 60th term of the arithmetic sequence 4,-1,-6-

Mathematics

1 answer:

kobusy [5.1K]3 years ago

8 0

Answer:

-291

Step-by-step explanation:

The common difference is -5

So the 60th term of the arithmetic sequence is

4+(60-1)×-5

=4+59×-5

=4+-295

=-291

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54 is 75% of ______________

Levart [38]

54=3x/4

18=x/4

18*4=x

72=x

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3 years ago

S=a1/1-r

valentinak56 [21]

Answer:

Step-by-step explanation:

This is an infinite geometric series. This has a sum of $\frac{a}{1-r}$

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

First term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{1-1}\\=3(\frac{1}{4})^0\\=3(1)\\=3$

Second term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}$

Let's see the common ratio: $\frac{\frac{3}{4}}{3}\\=\frac{3}{4}*\frac{1}{3}\\=\frac{1}{4}$

Thus we have a = 3 and r = 1/4. Plugging into the formula of the infinite sum, we get:

$s=\frac{a}{1-4}=\frac{3}{1-\frac{1}{4}}=\frac{3}{\frac{3}{4}}=3*\frac{4}{3}=4$

So, the answer is 4

4 0

3 years ago

A circle with a radius of 5 is inscribed in a equilateral triangle. What is the area of the triangle's area minus the circle's a

Aleonysh [2.5K]

First off, the area of the circle would be 78.54

Now, you would do (area of the triangle)--- AT-78.54=answer

I don't know how to find the area of the triangle with just the circle's radius, so this is all I can do. I'm sorry!

4 0

3 years ago

ABC and CBD form a linear pair and have equal measures. Tell if ABC is acute, right, or obtuse

Murrr4er [49]

To form a linear pair means that when added, they equal 180 degrees.
but if they have equal measures....180/2 = 90...then they would both equal 90 degrees.....and 90 degrees is a right angle.
So ABC and CBD are both right angles

6 0

3 years ago

Read 2 more answers

Write a polynomial in standard form that represents the area of the shaded region.

mr_godi [17]

Area of rectangle is $2x^2+x-45$

Step-by-step explanation:

Given:

Length of rectangle = 2x-9

Width of rectangle = x+5

Required:

Area of rectangle

Formula:

$Area\,\,of\,\,rectangle=Length*Width$

Putting values of length and width:

$Area\,\,of\,\,rectangle=Length*Width\\Area\,\,of\,\,rectangle=(2x-9)(x+5)\\Area\,\,of\,\,rectangle=2x(x+5)-9(x+5)\\Area\,\,of\,\,rectangle=2x^2+10x-9x-45\\Area\,\,of\,\,rectangle=2x^2+x-45$

So, Area of rectangle is $2x^2+x-45$

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

3 0

3 years ago