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2 years ago

Which is the equation for the nth term of the geometric sequence: -4,8,-16...?

Mathematics

1 answer:

kobusy [5.1K]2 years ago

6 0

Answer:

aₙ=(-2)ⁿ*2.

Step-by-step explanation:

1) -4*(-2)=8; 8*(-2)=-16; -16*(-2)=32, ...

2) the required equation is:

aₙ=(-1)ⁿ*2ⁿ*2; ⇒ aₙ=(-2)ⁿ*2 or aₙ=(-1)ⁿ*2ⁿ⁺¹.

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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to <em>1</em>.

6 0

3 years ago

Using the slope formula, find the slope of (1,-5) and (3,-17) pls pls help pls

inysia [295]

Answer:

-6

Step-by-step explanation:

5 0

2 years ago

Help I’ll give brainliest

pychu [463]

Answer:

The 5th is correct.

Step-by-step explanation:

The ratio of orange juice (1) to raspberry juice (1) is 1 to 1.

4 0

2 years ago

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I just need help with this is anyone can help I would be happy Thx

bonufazy [111]

Answer:

24 sq cm

Step-by-step explanation:

the big square is 20 and the small one is 4

3 0

2 years ago

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What is 328 divided by 23 with the remainder

Nata [24]

Answer:

7.1

Step-by-step explanation:

328 23 = 14.2608695652

14.2608695652 = 142.608695652 to the nearest tenth

14.2608695652 = 14.26 to the nearest hundredth

14.2608695652 = 14.261 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

328 divide by half plus 20

Homework answers: (328/2) + 20 = 184

328 divide by half plus 40

Homework answers: (328/2) + 40 = 204

328/23 divided by 2

Answer: (328/23) ÷ 2 = 7.13043478261

8 0

3 years ago

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