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Alja [10]
3 years ago
6

If a4=16 and a8=32 and an= 128 for an arithmetic sequence what is the value of n?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

n = 32

Step-by-step explanation:

an = a1 + (n - 1)d

a4 = a1 + 3d = 16

a8 = a1 + 7d = 32

7d - 3d = 32 - 16

4d = 16

d = 4

a4 = a1 + 3d = 16

a1 + 3(4) = 16

a1 + 12 = 16

a1 = 4

an = 4 + (n - 1)4 = 128

4 + 4n - 4 = 128

4n = 128

n = 32

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Multiply.<br><br> 1/4 x 32 =
Solnce55 [7]
Simply change 1/4 to a decimal 
1/4 = 0.25 
now we can multiply 0.25 and 32
lets do the math:)
0.25 x 32 = 8
your answer = 8 

When in doubt, eat a pineapple :)




6 0
3 years ago
Read 2 more answers
Help pls??Thank you!!
Igoryamba
The answer would be 4700
6 0
3 years ago
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Stacey's text messaging plan charges 20¢ for each message over 450 in addition to a $14 base charge. If she owes $18.00 for text
Sidana [21]

$18 = 14 + 0.20(t)

- 14

4 =  0.20t

Divide 4 by 0.20

t = 20

0.20 * 20 = 4

4 + 14 = 18

Because it only charged her for texts after 450, its 450 + 20.

470. She sent 470 texts that month.

3 0
3 years ago
La medida de cada ángulo interno de un polígono regular es 162º. Hallar el número de lados.
Romashka-Z-Leto [24]

Answer:

<em>n = 20</em>

Step-by-step explanation:

[ 180° ( n - 2 ) ] / n = 162°  

180 ( n - 2 ) = 162 n

180n - 360 = 162n

18n = 360

<em>n = 20</em>

6 0
3 years ago
What is the simplified form of the rational expression below 6x^2-54 / 5x^2+15x
Vladimir [108]

Answer:

\large\boxed{\dfrac{6x^2-54}{5x^2+15x}=\dfrac{6(x-3)}{5x}=\dfrac{6x-18}{5x}}

Step-by-step explanation:

6x^2-54\qquad\text{distributive}\\\\=6(x^2-9)=6(x^2-3^2)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=6(x-3)(x+3)\\\\5x^2+15x\qquad\text{distributive}\\\\=5x(x+3)\\-----------------\\\\\dfrac{6x^2-54}{5x^2+15x}=\dfrac{6(x-3)(x+3)}{5x(x+3)}\qquad\text{cancel}\ (x+3)\\\\=\dfrac{6(x-3)}{5x}=\dfrac{6x-18}{5x}

6 0
3 years ago
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