All categories

1 year ago

Select the correct answer.

Mathematics

2 answers:

Nuetrik [128]1 year ago

8 0

I think it is c: 40 units

ivolga24 [154]1 year ago

3 0

I think the answer is c

You might be interested in

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

OPTIONS Pack of 24 for $1.68 UNIT PRICE $ per Pack of 12 for $1.08 $ per

notsponge [240]

Pack of 6 for $0.34 there u go

3 0

3 years ago

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49

alisha [4.7K]

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

= -(x² + 8x - 33)

= -(x² + 8x + 16 - 49)

= -[(x + 4)² - 49]

= -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.

4 0

2 years ago

Read 2 more answers

5t 8=43 whats t.I WILL GIVE 50 POINTS AND IF YOU DONT RECEIVE THE POINTS TELL ME AND I WILL GIVE THEM.PLZ HELP MEEEEEEEEEEEEEEEE

lawyer [7]

==> I can't be sure of the equation. There's a blank space
      between '5t' and '8', where an operation must be.
   I think the operation is more likely ' + ' (addition). Brainly usually
   does show the ' - ' if it's subtraction, but goes blank if it's addition.
   Tell you what I'll do: Since you sound so desperate, and you're being
   so generous with your points, I'll show you how to figure it out both ways.

----------------------------------------

If it's subtraction:    5t - 8 = 43

Add 8 to each side: 5t = 51

Divide each side by 5 : t = 51/5

   t    = 10 and 1/5

--------------------------------------------

If it's addition: 5t + 8 = 43

Subtract 8 from each side:   5t = 35

Divide each side by 5 : t    = 7

5 0

3 years ago

Read 2 more answers

T(x) = -2(-x - 3)' + 1

Anna [14]

Answer:

Step-by-step explanation:

3 0

2 years ago