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SOVA2 [1]
3 years ago
9

Please help cause if you dont you will get a beatboxbattle lol.

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

14

Step-by-step explanation:

2a -b

Let a = 9 and b = 4

2(9) - 4

Multiply first

18-4

14

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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

<h3>Find</h3>

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
Need help with this question
Leto [7]
I'm pretty sure it's 3,000,000, "Basically, if the power is positive, you move the decimal point in the integer that many places to the right ex: 

3.14 x 10 ^ 3 would be 3140. 

If the power is negative, you move the decimal point to the left ex: 

3.14 x 10 ^ -3 would be 0.000314" according to Yahoo
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