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lorasvet [3.4K]
3 years ago
6

Can someone please help me with all the questions ​

Mathematics
2 answers:
nikdorinn [45]3 years ago
7 0

Answer:

the answer is 7

Step-by-step explanation:

LuckyWell [14K]3 years ago
4 0

Answer

i don't think people wanna do it

Step-by-step explanation:

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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

7 0
3 years ago
Nora can do 70 push ups in 2 minutes. Luke can do 105 push ups in 3 minutes. Do these rates form a proportion? explain
poizon [28]
Yes they do. In order to do this you must make the fraction 70/2 and 105/3. If you divided each one of those you get 35 for both which means it's a proportion.
4 0
3 years ago
Which of the following equations is true
lukranit [14]
Its the last one because 10 times 1 is 10 and 0 plus 10 still gives you 10
6 0
3 years ago
Read 2 more answers
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.​
Mashcka [7]

Answer:

Step-by-step explanation:

10 dozen is equal to 120 so ratio is 800/120 or 80/12

same ration on the other side but 200/x.Cross multiply and u get 3

7 0
3 years ago
How do you solve for X ax-x=c
MArishka [77]
Factor out the "x"  and you'll have:
x(a-1) =c \qquad /:(a-1) \\ x=\frac{c}{a-1} \qquad \qquad  a\neq 1
8 0
3 years ago
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