Ecursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

Mathematics

1 answer:

marishachu [46]1 year ago

8 0

Answer:

$f(5) = 10$

Step-by-step explanation:

$f(n+1) = f(n)-2\\\\f(1) = 18\\\\f(1+1) =f(2)= f(1) -2 = 18 -2 = 16~~~~~~~~~~~~;[n=1]\\\\f(2+1) =f(3) = f(2) -2 = 16-2 = 14~~~~~~~~~~~~;[n=2]\\\\f(3+1) = f(4)= f(3) -2 = 14-2 = 12~~~~~~~~~~~~~;[n=3]\\\\f(4+1) = f(5) = f(4) -2 = 12 -2 = 10~~~~~~~~~~~~~~;[n=4]\\\\\text{Hence,}~ f(5) =10.$

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In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.

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Standard deviation

In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.

Formula: $\sqrt{(x-x bar)^{2}/N }$

where x bar is mean and N is size of population.

Margin of error

The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.

Formula for M=z*s/ $\sqrt{n}$

here z is z value of Z score , s is variance , n is that the sample size.

Correlation coefficient

In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.

Formula=∑ $(x_{i} -x bar)(y_{i} -y bar)/\sqrt{}$ ∑ $(x_{i} -x bar)^{2}$ ∑ $(y_{i}-ybar) ^{2}$