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Evgesh-ka [11]
2 years ago
7

Please help me understand and explain it to me please.Recursive Sequence Function ​

Mathematics
1 answer:
DedPeter [7]2 years ago
4 0

A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.

We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule

f(n + 1) = -4 f(n) + 3

We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)

f(1 + 1) = -4 f(1) + 3

f(2) = -4 • 1 + 3

f(2) = -1

We do the same thing to find the next term f(3) :

f(2 + 1) = -4 f(2) + 3

f(3) = -4 • (-1) + 3

f(3) = 7

One more time to find the next term f(4) :

f(3 + 1) = -4 f(3) + 3

f(4) = -4 • 7 + 3

f(4) = -25

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(D) 33 feet

<u>Explanation:</u>

Given:

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We know:

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So,

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For the data set: {1.5, 2.3, 1.7, 3.6, 2.9, 4.2}, identify the percentile for the value 2.9.
antiseptic1488 [7]

Answer:

58.33%.

Step-by-step explanation:

We have been given a data set {1.5, 2.3, 1.7, 3.6, 2.9, 4.2} and we are asked to find the percentile for value 2.9.

First of all let us arrange our data points from smallest to largest as: {1.5, 1.7, 2.3, 2.9, 3.6, 4.2}.    

We can see that our data set has 6 data points and 2.9 is 4th data point.  

We will use percentile rank formula to solve our problem.  

P=\frac{(100*(i-0.5))}{n}, where,

P= Percentile rank,

i= Rank of the data point,

n = Total number of data points.

Upon substituting our given values we will get,

P=\frac{(100*(4-0.5))}{6}

P=\frac{(100*3.5)}{6}

P=\frac{350}{6}

P=\frac{350}{6}

P=58.333  

Therefore, percentile rank for the value 2.9 is 58.33%.

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