2 years ago

34.82 in expanded form

Mathematics

2 answers:

kvv77 [185]2 years ago

5 0

Thirty-four decimal point eighty-two

Sedbober [7]2 years ago

3 0

Thirty-four decimal eighty-two

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The first term in a sequence is 5. Each new term in the sequence is obtained by adding 4 to the previous term. Determine an equi

ycow [4]

Answer:

4x+1

Step-by-step explanation:

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2 years ago

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

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2 years ago

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2 years ago

For the function defined by y = 1/x4, y varies inversely as what quantity

gregori [183]

ANSWER

y varies inversely as x exponent 4.

EXPLANATION

The inverse variation equation is given as:

$y = \frac{1}{ {x}^{4} }$

We can see that there is an inverse relation between the quantity y and x.

If the it were $y = \frac{1}{ {x}^2 }$ , we say y varies inversely as the square of x.

Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.

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What is the greatest common factor (GCF) of 28 and 96?

victus00 [196]

Answer:

Step-by-step explanation:

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