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3 years ago

Find the next three terms in each geometric sequence. -4, 16, -64, ...

Mathematics

1 answer:

givi [52]3 years ago

3 0

Answer:

Step-by-step explanation:

Common ratio r = a₂/a₁ = 16/(-4) = -4

a₄ = a₃(-4) = 256

a₅ = a₄(-4) = -1024

a₆ = a₅(-4) = 4096

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Sergio039 [100]

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4 years ago

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3 years ago

Read 2 more answers

Philip has 2,000 and spends $23.75 on supplies.he divides the remaining amount equally among his 8 employees how much does each

Artemon [7]

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3 years ago

Product is -8 and sum is 2.<br> What are the two numbers

anygoal [31]

Step-by-step explanation:

Let the two numbers be x and y.

$\therefore \: xy = - 8...(1) \\ and \\ x + y = 2 \\ \\ \therefore \:x = 2 - y...(2)$

From equations (1) & (2)

$(2-y)y=-8\\\therefore \: 2y - y^2 = - 8\\\\\therefore \:y^2 - 2y-8=0\\\\\therefore \:y^2 - 4y+2y-8=0\\\\\therefore \:y(y - 4)+2(y-4)=0\\\\\therefore \:(y+2)(y - 4)=0\\\\\therefore \:(y+2)=0\:\: or\:\:(y - 4)=0\\\\\therefore \:y=-2\:\: or\:\:y =4\\\\ When \:\: y = - 2\implies x = 4\\\\When \:\: y = 4\implies x = - 2\\$

Thus, the two numbers are (4, - 2) or (-2, 4).

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4 years ago