Find the term to term rules for the following sequence-
2,6,18,54,162
Answers
Answer:
Essentially, to find the next term in this sequence, the number must be multiplied by 3.
So, the term to term rules for this sequence would be N x 3
Answer:
Step-by-step explanation:
The formula for a geometric sequence is where
is the
th term of the sequence,
is the first term, and
is the common ratio.
Since each term is being multiplied by 3, this is our common ratio.
Therefore, our geometric sequence formula is
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Answers
Notice that both the numerator and denominator have a common factor of 50.
Divide both the numerator and denominator by 50 to simplify the fraction:
(24000 / 50) / 50 = (24000 ÷ 50) / (50 ÷ 50) = 480 / 1
So, 24000/50 simplifies to 480/1, which is just 480 as a whole number. Therefore, 24000/50 = 480.
Dividing by 50 is the same as multiplying by 1/50, which is equivalent to 2/100.
The fraction 2/100 means we'll double 24000 to get 48000. Then remove 2 zeros at the end to get 480. The removal of two 0's is due to the division by 100.
Therefore, 24000/50 = 480
---------------
Dividing by 5 will follow a similar pathway. We can multiply by 1/5 aka 2/10
24000/5 = 24000*(1/5) = 24000*(2/10) = 48000/10 = 4800
Notice the numerator doubled to 48000, and then we remove a zero at the end.
All of this can be done using pure mental math only. Each answer can be confirmed with a calculator.
4x+19=6x-7
Please and thank you.
Answers
As the given image is of a triangle and MN is one of the sides of the triangle. After solving the given equation, the value is 71.
What are the sides of triangle?
There are three sides and three angles in every triangle, some of which may be the same. In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.
Every triangle is bicentric and convex. A triangle with angles requires at least one side in order to determine the length of the side. The length of the triangle's sides can then be determined using the law of sines.
4x + 19 = 6x - 7
19 + 7 = 6x - 4x
26 = 2x
26 / 2 = x
13 = x
When the derived value of x is putted in the given equation, the value will be,
4x + 19 = 4 × 13 + 19 = 52 + 19 = 71
Therefore, after solving the given equation, the value is 71.
Learn more about sides of triangle from here:
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Answer:
MN = 71
Step-by-step explanation:
You first gotta know the value of x by putting both equations in line!
4x + 19 = 6x - 7
4(13) + 19 = 6(13) - 7
52 + 19 = 78 - 7
71 = 71
Answer:x = 13
Then we already have the length of MN!
Answer:MN = 71
Answers
Answer:
the slope is -1
Step-by-step explanation:
for every one x that you move you go down one y so
rise/run = 1/-1
slope is -1
Slope is rise over run or change in y over change in x.
In the graph, the change in y is -2 (line goes down to -2) and the change in x is -2 as well.
Therefore, the slope is -2/-2, which is equivalent to 1. So the slope is 1.
Answers
Answer: f(x) - g(x) = -4x+3
=============================================
Work Shown:
f(x) - g(x) = ( f(x) ) - ( g(x) )
f(x) - g(x) = ( -x+5 ) - ( 3x+2 )
f(x) - g(x) = -x+5 - 3x - 2
f(x) - g(x) = (-x-3x) + (5-2)
f(x) - g(x) = -4x+3
In step 3, make sure to distribute the negative to everything in the parenthesis for (3x+2)
Answers
15, how many RED marbles are in the bag?
Answers
Rearranging the above equation and simplifying gives the quadratic:
which factorizes to:
(r - 4)(r + 3) = 0
Therefore r = 4. there are 4 RED marbles in the bag.
Answer:
6
Step-by-step explanation:
BECAUSE.