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pashok25 [27]
3 years ago
7

Is the set of numbers one 1,5,25 and 125 a geometric sequence

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0
Short answer: Yes.
Each member of the sequence is multiplied by 5 to get to the next member of the sequence.

Find the general equation.
tn = a*5^(n - 1)

Example
t4 = 1*5^(4 - 1)
t4 = 1*5^3
t4 = 125 just as the sequence shows.

t5 = 1^5^4
t5 = 625     Any member of the sequence can be found this way.
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A tailor has 13 1/2 yards of fabric to use for making costumes. For each costume, he needs 1 1/2 yards of fabric for the top and
VLD [36.1K]

Answer:

6 complete costumes

Step-by-step explanation:

he has 27/2 total fabric

1 costume requires 1 2/4 + 3/4 of fabric, which is 2 1/4

we divide 27/2 by 9/4

27/2 x 4/9 = 6

3 0
2 years ago
Your tea her will grade your response 4-8 to ensure you receive proper credit
svlad2 [7]

Answer:

k = 73

Step-by-step explanation:

The sum of all the angles in a triangle is  180  degrees.

62 °  +  k +  45 °  =  180

Solve the equation for k

Add  62 °  and  45 °

k +  107  =  180

Move all terms not containing  C  to the right side of the equation.

Subtract  107  from both sides of the equation.

k  =  180  −  107

Subtract

k  =  73

4 0
3 years ago
What is the value of x in the equation 2x + 2 equals -52
diamong [38]
2x+2=-52
2x=-54
x=-27
That is the simple formula for it.
4 0
3 years ago
Find the area of a circle circumscribing an equilateral triangle of side 15cm.<br> Take pi = 3.14.
miskamm [114]

Answer:

236 cm²

Step-by-step explanation:

Height of an equilateral triangle (h) = √3 /2 (l)

l = side of the equilateral triangle.

h = √3 /2 (15)

In an equilateral triangle the orthocenter, centroid, circumcenter and incenter are in the same spot

The center of the circle is the centroid and height match  with the median. The radius of the circumcircle is equal to two thirds the height.

Formula for the Radius of the circumcircle = 2/3 h

= 2/3 x √3 /2 (15)

= 5 √3 cm     (=radius)

Area of the circle = πr^

= 3.14 x( 5 √3 ) ^

=3.14 x(25*3)

=3.14 x 75

=235.5

=236 cm²

8 0
3 years ago
Solve the following system of equations by elimination:
sergeinik [125]

Answer:

x=4

y=5

(4,5)

Step-by-step explanation:

6 0
2 years ago
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