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3 years ago

Consider the given geometric sequence.

Mathematics

2 answers:

Gala2k [10]3 years ago

7 0

F5=(256)f1=16 hope this helps

SVETLANKA909090 [29]3 years ago

6 0

Answer: The common ratio is 2.

$f(1)=16$

$f(5)=256$

Step-by-step explanation:

The given geometric sequence. is

16, 32, 64, 128, ...

Also, The common ratio (r)= $\frac{a_{n+1}}{a_n}=\frac{a_2}{a_1}=\frac{32}{16}=2$

Hence, the common ratio (r)= 2

Given that the sequence is represented by the function f.

Then $f(n)=a_1r^{n-1}$

Then, the first term of G.P. = $f(1)=16$

For n=5, $f(5)=16(2)^{5-1}=16(2)^4=16\times16=256$

Hence, f(5)=256

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The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph

tensa zangetsu [6.8K]

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function $f(x)=x^3$ , and then transform it into the function: $g(x)=(x-4)^3-7$

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

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2 years ago

Read 2 more answers

What is -1/2(-4/5) multiplied then in simplest form?

olchik [2.2K]

-1/2(-4/5)

Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10

Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.

Hope this helped.

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3 years ago

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Alisiya [41]

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3 years ago

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

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Degree - 3 (odd);

Leading coefficient - 2 (positive).

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