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2 years ago

7

The value of the 8th term is 78.

1 answer:

trapecia [35]2 years ago

4 0

Answer:

108

Step-by-step explanation:

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Can anyone help me about question 2

madreJ [45]

9514 1404 393

Answer:

3(4/3)^2543

Step-by-step explanation:

Using logarithms base 2, we have ...

$(a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}$

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

$\log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}$

and the 2544th term is ...

$\boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}$

8 0

2 years ago

What is the volume of a<br> cube that has one side of ||<br> cm?

yulyashka [42]

Answer:

5

Step-by-step explanation:

633 yess sjs this is rhe im doing this for points

8 0

2 years ago

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PLEASE HELP TIMED

ivolga24 [154]

Answer:

D. 1, 5, 7, 9, 11, 14, 16

Step-by-step explanation:

Your welcome ;)

6 0

2 years ago

Quiz 4: Solving Inequalities

san4es73 [151]

Answer:

$15x+60\leq 100$

Step-by-step explanation:

Let

x -----> the number of hours that the painter works

we know that

The inequality that represented this situation is equal to

$15x+60\leq 100$

solve for x

Subtract 60 both sides

$15x\leq 100-60$

$15x\leq 40$

Divide by 15 both sides

$x\leq 40/15$

$x\leq 2.67\ hours$

The maximum number of hours is 2

3 0

2 years ago

A line goes through the point (5, −7) and has slope = −3. What is the y-intercept?

Readme [11.4K]

Answer:

the y intercept is 8

Step-by-step explanation:

5,-7. 5x3=15+-7=8

6 0

2 years ago

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