All categories

3 years ago

Is the sequence geometric ? -48,96,-192,384...

Mathematics

1 answer:

Lunna [17]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

If the sequence is geometric then the common ratio r between consecutive terms will be equal.

$\frac{96}{-48}$ = - 2

$\frac{-192}{96}$ = - 2

$\frac{384}{-192}$ = - 2

The common ratio between terms = - 2

Hence the sequence is geometric

You might be interested in

Pls help me with this question

igor_vitrenko [27]

Answer:

D, C

Step-by-step explanation:

for part a, there is a negative slope with the graph shifted two units upwards

for part b, if you plug in C, you get an answer that works

8 0

2 years ago

I have to get this so I pass help plz

pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

_____________________________________

5 0

2 years ago

Find the principal needed now to get the given amount; that is, find the present value.

wel

I believe the answer is either 40 or 250.

8 0

2 years ago

The ratio of dogs to cats at an animal shelter is 7 to 5. how many cats are at the shelter if there are 42 more dogs than cats,

Zanzabum

105 cats are in the shelter as 1 = 21 x 5

7 0

3 years ago

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and

Flura [38]

Answer:

a) cblo

2)$3.44

Step-by-step explanation:

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up equation:

x=cans

y=loaves

$4x+3y=11.67\\8x+y=12.89$ This is the answer for question A.

Multiply eq1 by 2:

$8x+6y=23.34$

Subtract eq3 by eq2:

$5y=10.45\\y=2.09$

Substitute:

$8x+2.09=12.89\\8x=10.8\\x=1.35$

One can of soup and one loaf of bread=

$1.35+2.09 or 3.44$

So:

$$3.44$

Hope this helps :D Please hit the crown if u can !!

6 0

3 years ago