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Solnce55 [7]
3 years ago
11

Is the sequence (a) (1.2,2.4,4.8,9.6. arithmetic, geometric, or neither? If arithmetic, identify the common difference, d. If th

e sequence is geometric, identify the common ratio, r.

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
8 0

Answer:

C) Geometric; r = 2

Step-by-step explanation:

The given sequence An = {1.2, 2.4, 4.8,9.6,...}

Geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

The given sequence is a geometric sequence. Because second term is first term multiplied by a constant 2.

The common ratio = 2.4/1.2  = 2

r= 2

Answer: C) Geometric; r = 2

Thank you.

borishaifa [10]3 years ago
4 0

Answer: (C) geometric, r = 2

<u>Step-by-step explanation:</u>

  • 1.2, 2.4, 4.8, 9.6
  •    ∨     ∨     ∨
  •   x2    x2   x2

Each term is multiplied by 2 to create the next term.  Multiplication makes this a geometric sequence. Since it is multiplied by 2, r = 2.

NOTE: If the terms were added, then it would be an arithmetic sequence.

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3 years ago
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Answer:

<u>24 meters</u> is the width of the original rectangle.

Step-by-step explanation:

Given:

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced rectangle has a length of 9 meters.

Now, to get the width of original rectangle.

The reduced rectangle's perimeter = 30 meters.

The reduced rectangle's length = 9 meters.

Now, we find the width of reduced rectangle by using formula:

Let the width of reduced rectangle be x.

Perimeter=2\times length+2\times width

30=2\times 9+2\times x

30=18+2x

<em>Subtracting both sides by 18 we get:</em>

<em />12=2x<em />

<em>Dividing both sides by 2 we get:</em>

6=x\\\\x=6\ meters.

The width of reduced rectangle = 6 meters.

Now, to get the width of original rectangle:

Let the width of original rectangle be w.

<em>As given, the perimeter of the original rectangle = 120 meters.</em>

<em>And, the perimeter of reduced rectangle is 30 meters and its width is 6 meters.</em>

<em>So, 30 is equivalent to 6.</em>

<em>Thus, 120 is equivalent to </em>w.<em />

Now, to get the width using cross multiplication method:

\frac{30}{6}=\frac{120}{w}

<em>By cross multiplying we get:</em>

<em />30w=720<em />

<em>Dividing both sides by 30 we get:</em>

<em />w=24\ meters.<em />

<em>The width of original rectangle = 24 meters.</em>

Therefore, 24 meters is the width of the original rectangle.

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Answer:

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The terms in a Fibonacci series are obtained form the sum of the previous 2 terms. So the next number F(16) = 377 + 610 = 987.

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