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uranmaximum [27]
2 years ago
15

What is the next term of the geometric sequence? -128/27,32/9,-8/3

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

Answer:

2

Step-by-step explanation:

a1 = -128/27

a2 = 32/9

a3 = -8/3

Therefore, a = a1 = -128/27

r = a3 ÷ a2 = -8/3 ÷ 32/9 = -3/4

So a_n=ar^{n-1}=-\frac{128}{27} (-\frac{3}{4})^{n-1}

Therefore, a4 = (-128/27) x (-3/4)^(4-1)

= (-128/27) x (-3/4)^3

= (-128/27) x (-27/64)

= 2

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Answer:

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Step-by-step explanation:

Let x, y , and z be the numbers.

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Recall that  term of a geometric sequence  are generally in the form:

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This implies that:

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Substitute a=32 and solve for r.

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Take the fourth root to get:

r=\sqrt[4]{\frac{81}{256} }

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Therefore x=32*\frac{3}{4} =24

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