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Lina20 [59]
3 years ago
5

30 points please help me

Mathematics
2 answers:
posledela3 years ago
8 0
Given sequence: 
6,2,-2,-6,-10,...
First we have to find the common difference.
d= 2-6=-4
d=-2-2=-4
d=-6-(-2)=-6+2=-4
So common difference is -4.

Which means it is an arithmetic sequence.

Formula for the given sequence is:
an= a1+ (n-1)d
an=6+(n-1)(-4)
an=6-4n+4
an=-4n+10

Answer: an=-4n+10
Anika [276]3 years ago
7 0
Hey there,

Your question states: <span>Which choice is the simple formula for the nth term of the following arithmetic sequence?

</span><span>6, 2, -2, -6, -10, 6, -6, 10

If you see,(6,2) are 4 apart. And also (-2,-4) So this would include that (-10,6) because they are also 4 apart.

Hope this helps.
~Jurgen</span>
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A bookshelf is 45 inches wide. How many 1 &amp; 1/2 inch wide books will fit on the bookshelf? *
andriy [413]

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

7 0
2 years ago
Triangle A:B:C is 5:4:3​
Nitella [24]

Answer: the angles are: 30, 45, 75

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees.

the angles are in a ratio of 3:4:5.

if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

since the sum of the angles in a triangle is equal to 180 degrees, this means that:

3x + 4x + 5x = 180 degrees which means that 12x = 180.

divide both sides of this equation by 12 and you get x = 180 / 12 = 15 degrees.

this means that the 3x angles is equal to 45 degrees and the 4x angle is equal to 60 degrees and the 5x angle is equal to 75 degrees.

45 + 60 + 75 = 180 degrees so we're good there.

45 / 60 is equal to 3/4

60 / 75 is equal to 4/5

the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

7 0
3 years ago
The triangles are similar, solve for x.<br> N+3<br> 8
Nonamiya [84]

Answer:

5

Step-by-step explanation:

3+5=8

4 0
2 years ago
What property is -3 + 3 = 0
raketka [301]
Answer to question:

inverse property
“Staying the same”
adding a number to itself results in a sum of zero
4 0
3 years ago
Read 2 more answers
5(2/5) how to solve it?
mina [271]

Answer:

2

Step-by-step explanation:

Solve. Technically, there are two methods. You can first multiply, or first divide.

Essentially the question is:

(5 * 2)/5

or

2 * (5/5)

Solve. Remember to follow PEMDAS. First solve the parenthesis, then simplify:

(5 * 2)/5 = (10)/5 = 2

2 * (5/5) = 2 * 1 = 2

2 is your answer.

~

5 0
3 years ago
Read 2 more answers
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