1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetllana [295]
2 years ago
7

Help pleaseeeeeeeeeeeeeeeeeeeeeee

Mathematics
1 answer:
bixtya [17]2 years ago
3 0

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

<u>Step-by-step explanation:</u>

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

You might be interested in
an 8 by 19 ft wall has three 4 by 5 ft windows.the area of the three windows is what percent of the area of the entire wall (inc
erica [24]

Answer:

39.5% (3 sf)

Step-by-step explanation:

Area of 1 window: 4×5 = 20 ft²

2 windows: 3×20 = 60ft²

Area of the wall: 8×19 = 152 ft³

Percentage of window area:

60/152 × 100 = 39.47368421%

= 39.5% (3 sf)

4 0
3 years ago
Is (1,3) a solution of y = 3x2?
pickupchik [31]
No this is the awnser-3x+y=2
8 0
2 years ago
He is 187cm tall how many metres is this
k0ka [10]
He is one meter and 87 centimeters tall. 
6 0
2 years ago
Harbor knows he is 50 yards from school the map on his first shows that he is 3/4 inches from his current location how far is Ha
stiv31 [10]

Answer:

50x36=1800inches which is 200 yards :)

3 0
2 years ago
What does this mean? evaluate the expression for y=54y+10
salantis [7]

We have the expression:

4y+10

And want to evaluate in y=5, this means we have to replace y in the expression for 5 and calculate the value of the expression, so:

\begin{gathered} 4y+10,y=5 \\ 4\cdot5+10 \\ 20+10 \\ 30 \end{gathered}

The expression is 30 when y=5.

7 0
1 year ago
Other questions:
  • HELP !!excuse my messy writing
    10·1 answer
  • Charles rode 15 miles on his bicycle in 2.5 hours . barb rode her bicycle 8 miles in 1.5 hours at what rate fid Charles ride,in
    11·1 answer
  • Can anyone help me wit this problem..
    6·1 answer
  • Steve and Ed were comparing how much money they earned in a 9 week period. Steve earned $149.53 each week for three weeks. He th
    15·1 answer
  • A theater had 4,650 seats. If the theater sells all the tickets for each of its 5 shows, about how many tickets will the theater
    14·1 answer
  • The positive integer N is the smallest one whos digits add to 41. what is the sum digits of N+2021​
    9·1 answer
  • How many lateral faces on a triangular prism
    11·2 answers
  • Which of the shows... two times a variable, t, is greater than -6
    14·2 answers
  • The measures of the angles of a triangle are shown in the figure below.<br> Solve for x.
    11·1 answer
  • If f (x) = x² – 3, then find f (8) =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!