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AVprozaik [17]
3 years ago
10

What is the 8th term of the following geometric sequence? 3, 15, 75, 375, …

Mathematics
1 answer:
alexira [117]3 years ago
3 0

a_1=3\\a_2=3\cdot5=15\\a_3=15\cdot5=75\\a_4=75\cdot5=375\\\vdots\\\\\text{The general term of a geometric sequence}\ a_n=a_1r^{n-1}\\\\a_1-first\ term\\r-common\ ratio\\\\a_1=3,\ r=5\\\\\text{substitute}\\\\a_n=3(5^{n-1})\\\\8th\ term\to a_8\\\\\text{Substitute}\ n=8\ \text{to the equation of}\ a_n:\\\\a_8=3(5^{8-1})=3(5^7)=3(78125)=234,375\\\\Answer:\ 8th\ term=234,375

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Which of the following is a geometric sequence?
lina2011 [118]
Answer: A.

explanation: multiply 2 x 2= 4 then 4 x 2= 8 then 8 x 2= 16 then 16 x 2= 32 so basically your just multiplying every number by the same exact number which is 2
3 0
2 years ago
What is the answer to 8(t+2)-3(t-4)=6(t-7)+8
Natasha_Volkova [10]

If you're just looking for the simplified equation that would be : 5t + 28 = 6t - 34

But if you're looking to find the value of "t" that would be : t = 62

If then, you are looking for the answer to the equation with t inserted, the equations are equal both sides equal : 338

I hope that answered your question. If not, lmk.

6 0
3 years ago
I need help with this problem.
liberstina [14]
4050 divided by 3 = 1350
There is 4050 people in an arena and there is 3 sections of seats. How many people are in one section of seats?
6 0
3 years ago
Solve 3(x-3) = 0???????
kenny6666 [7]
Using distributive property, we get:

3x-9=0
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So, x=3. Now that was easy, huh? :)
5 0
3 years ago
Read 2 more answers
Solve the system of inequalities<br> 1-12y&lt;:3y+1; 2-6y&gt;4+4y
ICE Princess25 [194]

For 1 - 12y < 3y+1;        y > 15

For 2 - 6y  >  4  +  4y;   y  <  -0.2

The given inequalities are:

1  -  12y < 3y  +  1

2 - 6y  >  4  +  4y

For 1  -  12y < 3y  +  1:

1  -  12y < 3y  +  1

Collect like terms

-12y  -  3y  <  1  -  1

-15y    <   0

Multiply both sides by -1

-1(-15y)   >  0(-y)

15y    >   0

Divide both sides by 15

y   >  0/15

y   >   15

For 2 - 6y  >  4  +  4y

Collect like terms

-6y  - 4y  >  4  -  2

-10y   >   2

Multiply both sides by -1

-1(-10y)   <  2(-1)

10y   <  -2

y  <  -2/10

y  <  -0.2

Learn more here: brainly.com/question/11316045

8 0
3 years ago
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