3 years ago

Determine the common ratio r of a geometric sequence with first term 5 and fourth term -40.

Mathematics

1 answer:

viva [34]3 years ago

8 0

Answer:

Step-by-step explanation:

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Find the common ratio of the geometric sequence 6, 48, 384, ...

gregori [183]

Answer:

r = 8

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = $\frac{a_{2} }{a_{1} }$ = $\frac{a_{3} }{a_{2} }$ = ..... = $\frac{a_{n} }{a_{n-1} }$

Then

r = $\frac{48}{6}$ = $\frac{384}{48}$ = 8

8 0

2 years ago

Find the argument of the complex number z=1+iv3

elena-14-01-66 [18.8K]

Given:

The complex number is:

$z=1+i\sqrt{3}$

To find:

The argument of the given complex number.

Solution:

If a complex number is $z=x+iy$ , then the argument of the complex number is:

$\theta=\tan^{-1}\dfrac{y}{x}$

We have,

$z=1+i\sqrt{3}$

Here, $x=1$ and $y=\sqrt{3}$ . So, the argument of the given complex number is:

$\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}$

$\theta =\tan^{-1}\sqrt{3}$

$\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)$

$\theta =\dfrac{\pi}{3}$

Therefore, the argument of the given complex number is $\theta =\dfrac{\pi}{3}$ .

6 0

2 years ago

Please Help me with this question. Will give Brainllest

Wewaii [24]

Answer:63

Step-by-step explanation:

7 0

3 years ago

How can you guys helps me?

tigry1 [53]

Answer:

Step-by-step explanation:

Have a good day. ;-)

3 0

3 years ago

Read 2 more answers

Complete the equation of the line through <br> (-8,-2) (−4,6)

natka813 [3]

Answer:

(6+2)/(-4+8)= 8/4= 2

y+2=2(x+8)

y+2=2x+16

y=2x+14

Step-by-step explanation:

7 0

3 years ago