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Usimov [2.4K]
3 years ago
10

Translate "The product of the cube root of 5 and X^ prime prime into an algebraic expression

Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

Le produit de la racine cubique de 5 et de X ^ prime prime en une expression algébrique: french, youre welcome.

Step-by-step explanation:

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36, ___, ___, 32/3 is a geometric sequence, with some terms missing. First, please solve for "r", the common ratio between each
Nikitich [7]

Answer:

The geometric sequence is

36,24,16,\frac{32}3,.......

Step-by-step explanation:

The first term of the g.s is 36.

The 4th term of the given sequence is \frac{32}{3}.

The n^{th} term of the geometric sequence is

T_n=ar^{n-1}

Where a is the first term of the geometric sequence and r is the geometric sequence.

Then 4th term of the sequence is

T_4=ar^{4-1}

\Rightarrow \frac{32}3=36r^3

\Rightarrow  r^3=\frac{32}{3\times 36}

\Rightarrow r=\sqrt[3]{ \frac{8}{27}}

\Rightarrow r=\frac{2}{3}

Then, second term of the sequence   =36\times( \frac 23)^{2-1}

                                                              =36\times \frac 23

                                                             =24

The third term of the sequence is=36\times( \frac 23)^{3-1}

                                                       =36\times( \frac 23)^2

                                                        =16

The geometric sequence is

36,24,16,\frac{32}3,.......

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