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laiz [17]
3 years ago
5

Find the nth term of this number sequence 18, 16, 14, 12,... Pls help

Mathematics
2 answers:
Gnom [1K]3 years ago
4 0

Answer:

20 - 2n

Step-by-step explanation:

The sequence is arithmetic since the difference between consecutive terms is constant, that is

d = 16 - 18 = 14 - 16 = 12 - 14 = - 2

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 18 and d = - 2, thus

a_{n} = 18 - 2(n - 1) = 18 - 2n + 2 = 20 - 2n

a_{n} = 20 - 2n

hodyreva [135]3 years ago
3 0
Step - by - step - explanation

So first find out the pattern. As you can see it just minuses 2 each time. So first

18, 16, 14, 12 (then minus another 2) equals 10, 8, 6, 4, 2.

So 2 is the ninth of the pattern, so 2 will be your answer.

Hope this helps.
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What are the coordinates of the circumcenter of a triangle with vertices A(4,10), B(10, 10) , and C(10, 2) ?
const2013 [10]

Answer:

(7,6)

Step-by-step explanation:

Triangle ABC with vertices at points A(4,10), B(10, 10) , and C(10, 2) is a right triangle with the hypotenuse AC.

The circumcenter of the right triangle is the midpoint of the hypotenuse.

Find the coordinates of the midpoint O of the hypotenuse AC:

x_O=\dfrac{4+10}{2}=7\\ \\y_O=\dfrac{10+2}{2}=6

So, O(7,6)

4 0
3 years ago
A car goes 400 miles on 10 gallons of
Olenka [21]

Answer:

A. 1200

Step-by-step explanation:

Since 10 times 3 is 30, then 400 times 3 is 1200. Hope I helped!

4 0
3 years ago
Write an equation in slope intercept form of the line that passes through the given point and is paraell to the graph of the equ
Nostrana [21]
1.) x = -3...this is a vertical line with an undefined slope. A parallel line to a vertical line is also a vertical line. A vertical line is represented by x = a number....that number being the x coordinate of ur point(4,2).
so ur parallel line is : x = 4 <==
=================
2.) y = -3/2x + 6....slope here is -3/2. A parallel line will have the same slope.

y = mx + b
slope(m) = -3/2
(2,-1)...x = 2 and y = -1
now we sub into the formula and find b, the y int
-1 = -3/2(2) + b
-1 = -3 + b
-1 + 3 = b
2 = b
so ur parallel line is : y = -3/2x + 2 <==
===================
y = -x - 2....the slope here is -1. A parallel line will have the same slope

y = mx + b
slope(m) = -1
(2,-2)...x = 2 and y = -2
now we sub into the formula and find b, the y int
-2 = -1(2) + b
-2 = -2 + b
-2 + 2 = b
0 = b
so ur parallel equation is : y = -x + 0 which can be written as : y = -x <=
8 0
3 years ago
What is 13,931 round by 10​
miv72 [106K]

Answer:

13,930

Step-by-step explanation:

hope this helps!

4 0
2 years ago
How far is a 10% of a 2000 kilometer trip
Dmitry_Shevchenko [17]

Answer:

answer:

10 2000

1x200=

200

Step-by-step explanation:

hope that helps

4 0
2 years ago
Read 2 more answers
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