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Natasha_Volkova [10]
3 years ago
8

Ill choose you brainliest , if you choose the correct answer

Mathematics
1 answer:
N76 [4]3 years ago
5 0
The answer is F and D
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In an arithmetic​ sequence, the nth term an is given by the formula an=a1+(n−1)d​, where a1 is the first term and d is the commo
Dmitry_Shevchenko [17]

Answer:

a_{10} = \frac{10}{65536}

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

a_{3} - a_{2} = a_{2} - a_{1}

We have that:

a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}

a_{3} - a_{2} = a_{2} - a_{1}

\frac{5}{2} - 10 = 10 - 40

\frac{-15}{2} \neq -30

This is not an arithmetic sequence.

This sequence is geometric if:

\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}

\frac{\frac{5}[2}}{10} = \frac{10}{40}

\frac{5}{20} = \frac{1}{4}

\frac{1}{4} = \frac{1}{4}

This is a geometric sequence, in which:

The first term is 40, so a_{1} = 40

The common ratio is \frac{1}{4}, so r = \frac{1}{4}.

We have that:

a_{n} = a_{1}*r^{n-1}

The 10th term is a_{10}. So:

a_{10} = a_{1}*r^{9}

a_{10} = 40*(\frac{1}{4})^{9}

a_{10} = \frac{40}{262144}

Simplifying by 4, we have:

a_{10} = \frac{10}{65536}

3 0
4 years ago
DUE IN THE NEXT 10 MINUTES, PLEASE HELP! Describe the strategy used to find an equation of a line, given its slope and a point o
Llana [10]
Y=mx+b helps to find slope of a line.
B is where it starts on the y axis.
m is the slope.
3 0
4 years ago
Need help with this.
skelet666 [1.2K]

Answer:

-5/2(3x+4)<6-3x (multiply with -5/2)

-15/2x-10<6-3x (multiply with 2)

-15x-20<12-6x (change sides)

-15x+6x<12+20

-9x<12+20

-9x<32

x>-32/9

Hope this will help u :)

3 0
4 years ago
What is the value of the expression (-8)(6) - (-4)(-5) + (-3)(-6)?
Vlad1618 [11]

-77 is the correct answer. Hope this helped. Comment if you would like a more detailed answer.

5 0
4 years ago
-2/15 DIVIDED BY -2/5 LOWEST TERMS
Sidana [21]
I'm fairly certain the answer is 1/3.
3 0
4 years ago
Read 2 more answers
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