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Naddik [55]
2 years ago
7

If f(1) = 1 and f(n) = 3f(n-1) then find the value of f(4).

Mathematics
1 answer:
NeX [460]2 years ago
4 0

Answer:

9

Step-by-step explanation:

Here,

f(1) = 1,

f(n) = 3f(n-1),

f(4)= 3×1(4-1)

     = 3×3

     =9

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Write an expression to represent: 3 minus the quotient of x and 4
alisha [4.7K]

The expression representing the sentence is $3 -\frac{x}{4}.

We have a sentence - "3 minus the quotient of x and 4".

We have to determine the expression that represents the sentence.

<h3>Express the statement - "The difference of x and y is equal to an irrational number" in the form of expression.</h3>

The expression representing the above statement is -

x - y = π.

According to the question, we have -

3 minus the quotient of x and 4.

Using the Division Algorithm -

x = 4q + r

Substituting r = 0 by introducing decimals in the quotient, we get -

q = $\frac{x}{4}

Therefore -

$3 -\frac{x}{4}

Hence, the expression representing the sentence is $3 -\frac{x}{4}.

To solve more questions on Expression modelling, visit the link below-

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What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4
Nataly_w [17]

Answer:

Required logarithmic function is :

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Step-by-step explanation:

We have been fiven that table for the logarithmic function is:

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Hence required logarithmic function is :

f\left(x\right)=\log_3\left(x\right)

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