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lesya692 [45]
3 years ago
11

Use inductive resoning to predict the next number 1,6,-4,1,-9,-4,-14,-9,-19

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

Answer:

-14

Step-by-step explanation:

the pattern is y+5=x, x-10=z

so,

1(+5)=6

6(-10)=-4

-4(+5)=1

1(-10)=-9

-9(+5)=-4

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4 years ago
The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to mode
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The explicit formula is Tn = 18[(2/3)^(n-1)]

Where n is the term we are looking for

Step-by-step explanation:

Here, we want to get an explicit formula to model the equation

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

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F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

Thus, seeing how the equations are progressing, we can definitely see a pattern.

That is Tn = (2/3)^(n-1)(18)

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You're given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side
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Evaluate the expression 4+−4√2+−1√ and write the result in the form a+bi.
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In the expression, the real number a equals 12 and the real number b equals -16.

<h3>How to explain the information?</h3>

It should be noted that the expression given is:

= (4 - 2i)²

Therefore, we need to expand the expression. This will be:

= (4 - 2i)(4 - 2i)

= 16 -8i -8i + 4i²

= 16 -16i +4i²

Substitute -1 for i²

= 16 - 16i + 4(-1)

= 16 - 16i - 4

= 12 - 16i

Therefore, the value of the expression is 12 - 16i.

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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.

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