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Anarel [89]
3 years ago
11

Determine the recursive function that defines the sequence.

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0
<h2>Answer:</h2>

Option: C is the correct answer.

    C.   f(1)=4\\\\f(n)=5\cdot f(n-1)\ ;\ n\geq 2  

<h2>Step-by-step explanation:</h2>

Recursive Formula--

It is the formula which is used to represent the nth term of a sequence in terms of (n-1)th term of the sequence.

Here we are given a table of values by:

            n            f(n)

            1              4

            2             20

            3             100  

i.e. when n=1 we have:

f(1)=4

Also,

f(2)=20\\\\i.e.\\\\f(2)=5\cdot 4\\\\i.e.\\\\f(2)=5\cdot f(1)

Also,

f(3)=100\\\\i.e.\\\\f(3)=5\cdot 20\\\\i.e.\\\\f(3)=5\cdot f(2)

Hence, the recursive formula is:

f(n)=5\cdot f(n-1)\ for\ n\geq 2

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Given g(x)=-x-1 find g(-4)
dmitriy555 [2]

Answer:

g(-4) = 3

Step-by-step explanation:

g(x) = -x - 1

g(-4) = -(-4) - 1

g(-4) = 4 - 1

g(-4) = 3

6 0
3 years ago
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CORRECT ANSWER GETS BRAINLIEST A frequency table of grades has five classes​ (A, B,​ C, D,​ F) with frequencies of ​4,11 ​,15 ​,
ra1l [238]

Answer:

A = 10.5%

B = 28.9%

C = 39.5%

D = 18.4%

F = 2.6%

Step-by-step explanation:

Add all the frequencies together = 38

  • 4/38 × 100 = 10.5%
  • 11/38 × 100 = 28.9%
  • 15/38 × 100 = 39.5%
  • 7/38 × 100 = 18.4%
  • 1/38 × 100 = 2.6%

10.5 + 28.9 + 39.5 + 18.4 + 2.6 = 100%

5 0
3 years ago
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num
forsale [732]
(-4)^2-4(1)(5)
16-4(1)(5)
16-4(5)
16-20
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The discriminant is negative so there are no real number solutions.
3 0
3 years ago
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Serious inquiries only please and double check ur work please before posting
Darya [45]
To calculate mean: Just add up all the numbers, then divide by how many numbers there are.345 + 673 + 728 +775 + 822 +827 +839 + 951 = 5960/8 = 745
633 +  673 + 728 +775 + 822 +827 +839 + 951 = 6248/8 = 781781- 745 = 35 It increases by 35To find the Median, place the numbers in value order and find the middle. BUT, with an even amount of numbers things are slightly different.  In that case we find the middle pair of numbers, and then find the value that is half way between them. This is easily done by adding them together and dividing by two. 345 673 728 775 822 827 839 951 The median = 822-775 /2
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3 0
3 years ago
Solve 6x - 3y = 12 for y<br> A. y = 6x + 4<br> B. y = 2x - 4<br> C. y = -6x + 12<br> D. y = 2x - 12
DedPeter [7]

Answer: <em>y = 2x − 4</em>

The correct answer is <em>B)</em> <em>y = 2x − 4</em>

Step-by-step explanation:

<u>Move all terms that don't contain y to the right side and solve:</u>

<em>y = −4 + 2x</em>

<u>Then reorder −4 and 2x:</u>

<em>y = 2x − 4</em>

<u>Final answer is:</u>

<em>B) y = 2x − 4</em>

8 0
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