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Ostrovityanka [42]
3 years ago
12

What is the explicit formula for the geometric sequence with this recursive

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Answer:

D)

an =  -6 \times {( \frac{1}{4} )}^{n - 1}

Step-by-step explanation:

(See the picture)

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Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit
natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\

6 0
3 years ago
Read 2 more answers
PLZZZZZ help me with this problem
katovenus [111]

0.075.

Do the division on the fraction first, then add that to negative 1.125

4 0
3 years ago
How can you use mental math to find 195 × 6?
kupik [55]
You can x 6 by all the number like 5x6 then 9x6 than 1x6 and and your numbers Carried
5 0
3 years ago
Which side lengths form a right triangle 30 POINTS!! I DONT HAVE MUCH TIME
Virty [35]

Answer:

To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.

When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:

5² + 12² = 25 + 144 = 169

13² = 169

So the answer is B

4 0
3 years ago
Read 2 more answers
What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and
seropon [69]

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

(x,y) = (2,-2)

The equations

7x + 9y = ?

5x - 2y = ?

Dimitri's Solution

Equation\ 1: 7x + 9y = -4.

7(2) + 9 (-2) = -4.

14 + (-18) = -4.

-4 = -4.

Equation\ 2: 5x -2y = 6.

5(2) - 2 (-2) = 6.

10 - 4 = 6.

6 = 6.

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

5x - 2y

and

(x,y) = (2,-2)

Substitute x = 2 and y = -2

So, we have:

5(2) -2(-2)

Open bracket

10 +4

Finally, we have:

14

7 0
3 years ago
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