2 years ago

Compare the ratios 4:5 and 16:20.

Mathematics

2 answers:

iogann1982 [59]2 years ago

4 0

Answer:

Step-by-step explanation:

got it right on edge

Nuetrik [128]2 years ago

3 0

i think its >

Step-by-step explanation:

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Find the length of the arc on a circle of radius r intercepted by a central angle . (Round your answer to two decimal places.)

maria [59]

Keep it up bro it’s b or a

6 0

2 years ago

If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?

Agata [3.3K]

<h3>Given</h3>

A geometric sequence such that ...

$a_2=-2\quad\text{and}\quad a_5=16$

$a_{14}$

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

$a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192$