All categories

3 years ago

The next term in the geometric sequence -1, -2, -4, ... is -6. True or False

Mathematics

1 answer:

My name is Ann [436]3 years ago

5 0

Answer:

False

Step-by-step explanation:

Geometric series have ratios.

The ratio here is 2.

So the next term should be -8.

You might be interested in

What is a 40% decrease of 85?

Andrews [41]

40% of 85 is 34 so 85-34=51

51 is your answer

6 0

3 years ago

A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e

iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), $y=\frac{3x}{2}$

From (3), $z=\frac{5x}{4}$

Substituting the above in (1), we get,

$x+\frac{3x}{2} +\frac{5x}{4} =570$

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = $\frac{3(152)}{2}$

y = 228

z = $\frac{5(152)}{4}$

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Check:

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5

8 0

3 years ago

You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest. Your friend’s a

d1i1m1o1n [39]

Answer:

I am will take 20 years to get 20$

My friend will take 10 years to get 20$

Step-by-step explanation:

$Let \: the \: no. \: of \: years : x \\ \\ for \: me \\ x \times (50 \times 2\%) = 20 \\ x \times 1 = 20 \\ x = 20 years\\ for \: my \: friend \\ x \times (50 \times 0.04) = 20 \\ 2x = 20 \\ x = 10 \: years$

I hope this is be good for you and I want this money

7 0

3 years ago

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the

Arisa [49]

Answer:

x+(x+4)=52

Step-by-step explanation:

Let's name the smaller number x.

The greater number would then be (x+4).

The sum of two numbers means we are adding them together.

The equation we could then set up would be:

x+(x+4)=52

Now we can solve the equation to find the two numbers if needed.

Here is how:

x+x+4=52

Combine like terms.

2x+4=52

Subtract 4 from both sides.

2x=48

Divide both sides by 2

x=24

The smaller number is 24.

24+4=28

The larger number is 28.

6 0

3 years ago

Express in the form 1:n 3:12

Troyanec [42]

Answer:

1:4

Step-by-step explanation:

Given

3: 12

To express in the form 1:n

Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3

3:12

= 3/3:12/3

= 1:4

Comparing with 1:n, it is safe to say that n = 4

6 0

3 years ago