What is the next term in the geometric sequence -1 -2 -4

Answers

Answer 1

Answer:

Answer: -8

Step-by-step explanation:

We must remember that, in geometric sequences, the ratio between the consecutive terms is constant.This is called "Common ratio" and is represented with "r".

We need to find the common ratio of this geometric sequence:

Divide one term by the previous term:

$r=(-4)/(-2)\n\nr=2$

Then, the next term asked in the exercise can be found by multiplying -4 by 2.

Therefore, this is:

$next\ term=(-4)(2)\n\nnext\ term=-8$

Answer 2

Answer:

Answer:

-8

Step-by-step explanation:

r=2

so multiply third term by 2

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A bag contains 42 cups of dog food. Your dog eats 2 1/3cups of dog food each day. Is there enough food to last 3 weeks?

Answers

Answer:

it will last 18 days

Step-by-step explanation:

divide 42 by 2 1/3

2 1/3 = 7/3

42 / 7/3 =

42 * 3/7 =

126/7 = 18

if this isn't enough then here

The number of days it will take the dog to consume the 42 cup of food will be 18 days.

Total cups of dog food = 42 cups

Amount of cups consumed per day =

To obtain the number of days it will take to consume the entire food :

Divide the total amount of food by the amount consumed per day

Hence,

(42 ÷ (7/3))

Take the reciprocal of 7/3 and change the operation sign to multiplication

42 × 3/7 = (42 × 3) / 7 = 126 / 7 = 18 days

Therefore, it will take the dog 18 days to finish up the 42 cups of food.

A small, test batch of lemonade used 1/4 cups of sugar added to 1 cup of water and 1/4 cup of lemon juice. After confirming it tasted good, a larger batch is going to be made with the same ratios using 10 cups of water. How much sugar should be added so that the large batch tastes the same as the test batch?

Answers

Answer:2 and a half cups of sugar

Step-by-step explanation:

1/4*10

2/1 cups

Just divide

Express 300 as a product of its exponential notation

Answers

The answer is 3.0x10^2=300

Your answer is 3.0x10^2=300

Hope this helps.

33 is 50% of what number?

Answers

50/100 * x = 33
x = 33 * 100/50
x = 66
so your answer is 66

What is 10% of 400.00

Answers

If you want to evaluate whatis 10 percent of 400, youcan do this using the following few steps:

10% * 400 = 10/100 * 400 = 0.1 * 400 = 40

10% of 400 is 40.

'of' in mathematics means multipication

10% = 10/100 = 0.1

400 x 0.1 = 40

Your answer is 40.

Please answer this correctly I have to finish the sums by today.I want smart people to answer like helping hand people.