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3 years ago

Define the sequence recursively using function notation. 2.5, 7.5, 22.5, 67.5, 202.5,...

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer: Aₙ = Aₙ₋₁*3; where A₀ = 2.5

Step-by-step explanation:

Let's try with some known sequences:

Arithmetic.

The difference between consecutive terms is constant:

7.5 - 2.5 = 5

22.5 - 7.5 = 15

We can already see that it is not an arithmetic sequence.

Geometric:

The ratio between consecutive terms is constant.

7.5/2.5 = 3

22.5/7.5 = 3

67.5/22.5 = 3

...

We can already see that this is a geometric sequence.

Then we can write the n-th term as:

Aₙ = Aₙ₋₁*3, where A₀ = 2.5

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Answer:

<h3>Required Answer:-</h3>

First we need to convert it into y=mx+c form

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Now create table using this

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3 years ago

On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1)

drek231 [11]

Answer:

B and E

Step-by-step explanation:

Given

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IrinaVladis [17]

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Step-by-step explanation:

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3 years ago

Which binomial is a factor of49x^2+84xy+36y^2

Alex17521 [72]

Answer:

(7 x + 6 y)^2

Step-by-step explanation:

Factor the following:

49 x^2 + 84 x y + 36 y^2

The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

7 x (7 x + 6 y) + 6 y (7 x + 6 y)

Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

(7 x + 6 y) (7 x + 6 y)

(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:

Answer: (7 x + 6 y)^2

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3 years ago