Help anyone can help me do this question,I will mark brainlest.

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

Ou pick a card at random. Without putting the first card back, you pick a second card at random.

Arte-miy333 [17]

If you cards are only 5,6,7, then the probability of getting even, then even would be zero.

The directions say that the card is not replaced. Therefore, once you pick the 6, there would be no more even cards.

5 0

3 years ago

Find the value of x. B А. to 97° 89° С D

EleoNora [17]

Answer:

should be 89 since it's directly across

8 0

3 years ago

Read 2 more answers

If y varies inversely as x and y=3 when x=14, find x when y=6

alukav5142 [94]

X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.

So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.

Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)

That makes 14/6=X/3. When we cross multiply, we find that x=7.

3 0

2 years ago

Given the graphs of y = 3x - 1 and y = -2x + 1, determine

MArishka [77]

Answer:

Я могу заплатить, но я никогда не хотел

Победы любой ценой.

Я никогда не хотел, чтобы чья-то грудь была под моей ногой.

Я бы лучше остался здесь с тобой,

Просто остался здесь с тобой,

Но звезда, что высоко в небе, по-прежнему показывает мой путь.

Step-by-step explanation:

8 0

3 years ago

Help anyone can help me do this question,I will mark brainlest.​

Help anyone can help me do this question,I will mark brainlest.