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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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Which ordered pair is the best estimate for the solution of the system of equations
Colt1911 [192]

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)

Equate equations (1) and (2)

-\frac{1}{2}x + 4=\frac{1}{2}x -3

Solve for x in the equation above

-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7

Substitute x = 7 into equation (1)

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The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

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