All categories

4 years ago

What is the recursive rule for this geometric sequence?

Mathematics

1 answer:

MA_775_DIABLO [31]4 years ago

6 0

Answer:

$a_{n}$ = $\frac{1}{4}$ $a_{n-1}$

Step-by-step explanation:

The recursive rule allows us to find the term in a sequence from the previous term by multiplying it by the common ratio.

The common ratio r for the geometric sequence is

r = $\frac{\frac{1}{2} }{2}$ = $\frac{1}{4}$

Thus the recursive rule is

$a_{n}$ = $\frac{1}{4}$ $a_{n-1}$ with a₁ = 2

You might be interested in

Which of the following ratios will form a proportion with 2/3

Olenka [21]

6/15 and 12/18 are ratios of 2/3

6 0

3 years ago

Read 2 more answers

Which shows 0.124 in expanded form? A. ( 1 × 1 10 ) + ( 2 × 1 100 ) + ( 4 × 1 1000 ) B. 1 + ( 2 × 1 100 ) + ( 4 × 1 1000 ) C. 1

iren [92.7K]

Answer:

A. ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )

Step-by-step explanation:

A number is written in expanded form if it shows the sum of the values of the individual digits that make up the number.

To write 0.124 in expanded form, follow these steps:

(i) Take the digits one after the other and multiply it by its value depending on its place.

Taking the first digit - 0

The value is 0 unit, where a unit is 1

Now multiply 0 by 1

=> 0 x 1

=> 0

Taking the second digit - 1

The value is 1 tenth, where a tenth is 1 / 10

Now multiply 1 by 1 / 10

=> 1 x 1 / 10

Taking the third digit - 2

The value is 2 hundredth, where a hundredth is 1 / 100

Now multiply 2 by 1 / 100

=> 2 x 1 / 100

Taking the fourth digit - 4

The value is 4 thousandth, where a thousandth is 1 / 1000

Now multiply 4 by 1 / 1000

=> 4 x 1 / 1000

(ii) Add the results obtained in (i) above

=> (0 x 1) + ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

=> ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

Therefore,

0.124 in expanded form is ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )

5 0

3 years ago

How do you find the slope (m) and the y-intercept for (0,-4), (5,-4)?

navik [9.2K]

Answer:

In order to find the slope (m), and the y-intercept of this coordinate pair, you must complete rise over run.

This is represented by y2-y1, x2-x1. This can be represented like so:

-4-0 = -4

5--4 = 9

Here, we have concluded that our slope is -4/9.

Now, we must convert this into point slope form. Point slope form is y-y1=m(x-x1). This will look like this in our situation:

y+4=-4/9(x-0)

To solve, distribute the -4/9 first, which will leave you with:

y+4=-4/9x+0

Now, subract the 4 to both sides of the equation.

Our final answer looks like: y=-4/9-4.

-

SLOPE: -4/9

Y INTERCEPT: -4

3 0

3 years ago

ZEE సినిమాలు next పండగ చేసో see

LenKa [72]

Answer:

uhuh

Step-by-step explanation:

5 0

3 years ago

If f (x) = 3 [X-2] what is f(4.7) answer

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

[x-2]=[4.7-2]=[2.7]=2

f(4.7)=3*2=6

7 0

3 years ago