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insens350 [35]
3 years ago
15

Identify a pattern in the given list of numbers.Then use this pattern to find the next number.

Mathematics
1 answer:
andriy [413]3 years ago
4 0
4 x 5 = 20

20 x 5 = 100

I assume the next number in this sequence will be 500, as 100 x 5 = 500.
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Answer:

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Step-by-step explanation:

The nth term of a geometric sequence is

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Given

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a₁ r^{6} = 256 → (1)

a₁ r^{9} = 2048 → (2)

Divide (2) by (1)

\frac{a_{1}r^{9}  }{a_{1}r^{6}  } = \frac{2048}{256}

r³ = 8 ( take the cube root of both sides )

r = \sqrt[3]{8} = 2

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a₁ = 4

Then

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a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64

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