No explanation needed.<br> BRAINLY GET RID OF BOTS

Someeee one?????????????????

Ad libitum [116K]

Answer:

Option B) $a_{n} = 2\cdot 4^{n-1}$

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

$a_{n} = a_{1}\cdot r^{n-1}$

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

$r=\frac{8}{2} = 4$

You can try other consecutive numbers too, you will get the same common ratio

$r=\frac{32}{8} = 4$

$r=\frac{128}{32} = 4$

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

$a_{n} = 2\cdot 4^{n-1}$

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

$a_{n} = 2\cdot 4^{n-1}$

Lets find out the 2nd term

Substitute n = 2

$a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8$

Lets find out the 3rd term

Substitute n = 3

$a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32$

Lets find out the 4th term

Substitute n = 4

$a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128$

Lets find out the 5th term

Substitute n = 5

$a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512$

Hence, we are getting correct results!

6 0

3 years ago

1 point<br> What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4

abruzzese [7]

Step-by-step explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

x

−

4

)

2

+

y

2

=

4

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

2

h

=

4

k

=

0

The center of the circle is found at

(

h

,

k

)

.

Center:

(

4

3 0

3 years ago

How would logx (49) = x look like in exponential form

Ivanshal [37]

I'm assuming the given log equation is $\log_{\text{x}}(49) = \text{x}$

If so, then the exponential form is $\text{x}^{\text{x}} = 49$

This is because the general form $\log_{\text{b}}(\text{x}) = \text{y}$ transforms into $\text{y} = \text{b}^{\text{x}}$

For both equations, the 'b' is the base.

5 0

2 years ago

What is 75miles/hr in feet/second?(1mile = 5280feet)

vodomira [7]

Answer:

110 feet/sec

Step-by-step explanation:

75 miles x 5280 feet

= 396000

396000/60 min

=6600

6600/60 secs

=110 feet/second

8 0

3 years ago

Please solve the problem below. Which is the correct answer?

Ivanshal [37]

I’m guessing A? Sorry if it’s wrong!

7 0

3 years ago

No explanation needed. BRAINLY GET RID OF BOTS