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Natalka [10]
3 years ago
10

What is the recursive formula for this geometric sequence 6, -24, 96, -384,...

Mathematics
2 answers:
boyakko [2]3 years ago
6 0

A one is six. Now, this can be used to work out any value in the geometric sequence

natita [175]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The recursive formula allows us to calculate the next term in the sequence from the previous term.

The common ratio r = \frac{-24}{6} = - 4

Thus multiplying any term by - 4 gives the next term, that is

a_{n+1} = - 4 a_{n} with a₁ = 6

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> What is [100(−4)^n-1} equal to?
nikklg [1K]

Answer:   -5100

<u>Step-by-step explanation:</u>

\sum^4_1[100(-4)^{n-1}]\qquad \rightarrow \qquad a_1=100\ \text{and r = -4}\\\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\\\S_4=\dfrac{100(1-(-4)^4)}{1-(-4)}\\\\\\.\quad=\dfrac{100(1-256)}{1+4}\\\\\\.\quad=\dfrac{100(-255)}{5}\\\\.\quad=20(-255)\\\\.\quad=-5100\\

3 0
3 years ago
Simplify the variable expression below as much as possible.<br> 3x + 2y + 5-3
agasfer [191]

Answer:

3x+2y+2=0

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Step-by-step explanation:

8 0
2 years ago
Juan bought 4 pounds of chocolate
Andru [333]

Answer:

Step-by-step explanation:

This is a system of equations.  The 2 equations are:

4c + 2p = 16

2c + 3p = 12

Let's get rid of the p's first.  Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:

-12x - 6p = -48

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Now add to get

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That means that chocolate is $3 per pound.  Now sub that back in to either one of the original equations to get the price for peanuts:

4(3) + 2p = 16 and

12 + 2p = 16 and

2p = 4 so

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The price for peanuts is $2 per pound.

6 0
3 years ago
If the students finished their assignment at 1:30 and they had been working for an hour and 45 minutes, what time did they start
bekas [8.4K]

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Step-by-step explanation:

7 0
3 years ago
(36.4 ÷ 1.6) - (3/8 x 1.5)<br>Show work
olga2289 [7]
First of all, i will change 3/8 into decimal which equal 0.375. Then,
(36.4÷1.6)-(0.375×1.5)
=22.75-0.5625
=22.1875. Hope it help!
3 0
3 years ago
Read 2 more answers
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