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Papessa [141]
4 years ago
13

What is the explicit formula for the geometric sequence with this recursive formula?

Mathematics
2 answers:
Vedmedyk [2.9K]4 years ago
7 0

Answer:

 A     an = -3 * (1/8) ^ (n-1)

Step-by-step explanation:

We know the first term a1 = -3

And the common ratio  r = 1/8 from the an = an-1 * 1/8

The explicit formula is

an = a1 r^ (n-1)

an = -3 * (1/8) ^ (n-1)

Alex17521 [72]4 years ago
6 0

Answer:

A

Step-by-step explanation:

a₁ = -3  ------>  first term

r ----> common ratio

a_{n}=a_{n-1}*\frac{1}{8}\\\\r=\frac{1}{8}\\\\a_{n}=a_{1}*r^{n-1}\\\\a_{n}=-3*(\frac{1}{8})^{n-1}

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Given: r(x) = x3 - 7, k(x) = 5 ln (2x) Find: (k ○ r) (x)
sergij07 [2.7K]

The value of (k ○ r) (x) from the given parameters in the task content is; 5 ln(2x³ -14)

<h3>What is (k ○ r) (x) from the task content?</h3>

If follows from the task content that;

  • r(x) = x³ - 7 and k(x) = 5 ln (2x)

It therefore follows that;

(k ○ r) (x) = k(r(x)) = 5 ln (2(x³-7)).

On this note, the expression which represents (k ○ r) (x) is; 5 ln(2x³ -14).

Read more on nested functions;

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Step-by-step explanation:

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