All categories

4 years ago

Find the 11th term of the geometric sequence 1, 4, 16, ...

Mathematics

1 answer:

drek231 [11]4 years ago

6 0

Answer:

a(11) = 4^10 = 1048576

Step-by-step explanation:

The first term of this geometric sequence, a(1), is 1, and the common ratio, r, is 4. Each new term is 4 times the previous term. Thus,

a(n) = 1*4^(n - 1), and

a(11) = 4^10 = 1048576

You might be interested in

To create a graph from an equation, evaluate the function at different ______. Use the input-output pairs to identify and plot _

Vikki [24]

Answer:

do you have a picture?

Step-by-step explanation:

6 0

3 years ago

Use the monthly payment formula to find the monthly payment for a $1,000, one year

wlad13 [49]

<h3>Answer: 89,58 $ </h3>

Step-by-step explanation:

The formula :

$\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}$

where r is years ; N is the percentage by which we increase the price ; A is the original price

In our case :

$\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}$

Then the monthly salary is equal to:

$\dfrac{1075}{12} \approx 89,58 \$$

6 0

3 years ago

Show three ways to write the expression 5 times x algebraically.

Dahasolnce [82]

Step-by-step explanation:

1st way: 5x

2nd way: 5.x

third way: 5(x)

4 0

2 years ago

Read 2 more answers

Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt

Agata [3.3K]

Answer:

60 minutes.

Step-by-step explanation:

Distance = Rate × Time

14 miles = 14mph × ?

Hence, time = 14 miles ÷ 14 mph = 1 hour

1 hour = 60 minutes.

He rode his bike for 60 minutes.

8 0

3 years ago

Which linear inequality is represented by the graph?

julia-pushkina [17]

Please where is the graph

8 0

3 years ago