3 years ago

What is the quotient please help me

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Answer:

Ans. =

$1.25a^{2}b^{2}$

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Brrunno [24]

Answer:

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3 years ago

How do I find this formula?<br><br> Trapizoid:b1=3 m;b2=4 m;A=7m2

DochEvi [55]

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This will solved using the concept of proportionality:
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3 years ago

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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).

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

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3 years ago