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Lunna [17]
3 years ago
11

True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false,

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number r such that

a_{n+1}-a_n=r\quad \forall n\geq 1

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number r such that

\dfrac{a_{n+1}}{a_n}=r\quad \forall n\geq 1

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.

For example, any sequence starting with

1, 15, -3,\ldots

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.

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Geometry- I need an answer for x and y.
elixir [45]

Answer:

x = 13sqrt(3) ft = 22.5 ft

y = 13 ft

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

From the ratio above we see that the hypotenuse is twice the short leg.

The long leg is sqrt(3) times the short leg.

y = short leg

x = long leg

26 ft = hypotenuse

y = 26 ft/2 = 13 ft

x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft

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The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
Ber [7]

Answer: 40

Step-by-step explanation:

Let the two numbers be a and b.

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From equation I, a = 3 + b

Put a = 3+b into equation ii

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The product of the numbers will be:

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kiruha [24]

Answer:

The answer is B. coefficient.

Step-by-step explanation:

Hope this helps! ^^

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Answer:

Step-by-step explanation:

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