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3 years ago

Find the product of 20 x 9 x 5. Tell which property you use?

Mathematics

1 answer:

zavuch27 [327]3 years ago

4 0

The answer to 20 x 9 x 5 is 900. You use multiplication property.

Hope this helps! :)

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4 years ago

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4 years ago

Read 2 more answers

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?

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<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