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3 years ago

Show your work W What is the great GCF (Greatest Common Factor)? 24x^2 and 20x

Mathematics

1 answer:

romanna [79]3 years ago

5 0

First, determine the greatest common factor between the numbers.

Remember, the greatest common factor is just the largest

factor that divides evenly into the two numbers.

In this case, 4 is the largest number so the GCF of our numbers is 4.

For the variables, however, we use the smallest power.

Since we have an x and an x², we use an x.

So our GCF is 4x.

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3 years ago

A sequence is defined recursively by the following rules: f(1)=3f(n+1)=2⋅f(n)−1 Which of the following statements is true about

Radda [10]

Answer:

f(2)=5

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Step-by-step explanation:

The given formula, that recursively defines the sequence is

$f(1) = 3 \\ f(n + 1) = 2f(n) - 1$

When n=1, we obtain;

$f(1+ 1) = 2f(1) - 1 \\ f(2) = 2 \times 3 - 1 \\ f(2) = 6 - 1 \\ f(2) = 5$

When n=2, we get:

$f(2+ 1) = 2f(2) - 1 \\ f(3) = 2 \times 5 - 1 \\ f(3) = 10 - 1 \\ f(3) = 9$

When n=3,

$f(3 + 1) = 2f(3) - 1 \\ f(4) = 2f(3) - 1 \\ f(4) = 2 \times 9 - 1 \\ f(4) = 18 - 1 \\ f(4) = 17$

When n=4

$f(4 + 1) = 2 f(4) - 1 \\ f(5) = 2 \times 17 - 1 \\ f(5) = 34 - 1 \\ f(5) = 33$

When n=5,

$f(6) = 65$

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3 years ago

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Answer:

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