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olchik [2.2K]
3 years ago
13

What is the rule for the following geometric sequence? 64,128,256,512...

Mathematics
2 answers:
professor190 [17]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The explicit rule for a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = \frac{a_{2} }{a_{1} } = \frac{128}{64} = 2 , then

a_{n} = 64 (2)^{n-1} → B

antiseptic1488 [7]3 years ago
6 0

Answer:

b).

{ \tt{a _{n}  = a( {r}^{n - 1} )}} \\ { \tt{a _{n} = 64( {2}^{n - 1}) }}

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Which phrase best defines a rhombus?
Whitepunk [10]
B. a parallelogram with four congruent sides

6 0
3 years ago
If a foosball table is 3cm longer then twice the width. Write a simplified expression for the area of the foosball table
djverab [1.8K]
Your expression is A = (L + 3) x (2w) x h
5 0
3 years ago
Jane has $5 more than three times as much money as Lonnie has.Bob has $1 less than four times as much money as Lonnie has. All t
kkurt [141]
Starting equation:
92=J+L+B

To find how much money Jane has, we use the equation:
J=5+3L
To find how much money Bob has, we use the equation:
B=4L-1

Enter those equations in the problem

92=(5+3L)+L+(4L-1)
Combine like terms
92=4+8L
Subtract 4 to isolate variable
88=8L
Divide by 8 to isolate variable
11=L

Answer:
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Jane has $38
Bob has $43

side note: Lonnie is that one poor friend we all have
5 0
3 years ago
Q1.
Ann [662]

Answer:

0.000174

3.5841 x 10^7

4.67  x 10^6

Step-by-step explanation:

1.74 x 10^-4 as an ordinary number

As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power

Hence 1.74 x 10^-4 as an ordinary number

= 0.000174

358.41 x 10^5 in a standard form

In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence

358.41 x 10^5 in a standard form

= 3.5841 x 10^5+2

= 3.5841 x 10^7

4 670 000 in a standard form

As done above, only one digit will be before the decimal

4 670 000 in a standard form

= 4.67  x 10^6

4 0
3 years ago
According to the 2010 U.S. Census, there are approximately 8 million people living in Virginia. This is 2.8 million less than 4
grandymaker [24]

Solution: We are given that the population of Virginia is 8 million.

Let x be the population of Nevada.

We are given population of Virginia is 2.8 million less than 4 times the population of Nevada.

\therefore 4x-2.8=8

      4x=8+2.8

      4x=10.8

      x=\frac{10.8}{4} =2.7

The first step is to on both sides.

add 2.8

The second step is to on both sides.

divide 4

The population of Nevada is million.

2.7

8 0
3 years ago
Read 2 more answers
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