All categories

2 years ago

List the next three numbers for the sequence: 34, 102, 408, 2040, ...

Mathematics

1 answer:

stiv31 [10]2 years ago

5 0

Answer:

12240

85680

685440

Step-by-step explanation:

We know that the sequence is growing rapidly

To see how rapidly divide the second term by the first term

102/34 =3

Check the third term divided by the second term

408/102 =4

Check the fourth term divided by the third term

2040/408=5

To get the second term, multiply by 3, to get the third term multiply by 4

to get the fourth term multiply by 5

to get the nth term multiply by (n+1)

The 5th term would be multiplied by 6

2040 *6 =12240

The 6th term by 7

12240*7=85680

The 7th term by 8

85680*8=685440

You might be interested in

A railway system on a hillside moves passengers at a constant rate to an elevation of 50 m. The elevations of a train are given

Brut [27]

8-4x(3x^2+5)-2(x+7) is equivalent

4 0

2 years ago

Read 2 more answers

Today, Reza ate 20 grapes, which was 400% as many grapes as he ate yesterday. Explain how to use equivalent ratios to find the n

Yanka [14]

What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.
To do it, let:
x: number of grapes that Reza ate yesterday
(x / 20) = (100/400).
Clearing x we have:
x = (100/400) * (20) = 5
answer
the number of grapes Reza ate yesterday was 5

3 0

2 years ago

Read 2 more answers

Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of

klasskru [66]

600-28(w)=300
-28(w)=-300
~approximately 10 weeks

3 0

2 years ago

Read 2 more answers

Deana gave her younger sister $5.48 to buy some candy. Her sister returned $2.84 in change. How much did her sister spend on can

alexandr402 [8]

Answer:

$2.64

Step-by-step explanation:Get rid of the dollar sign and just subtract like normal.

5.48

- 2.84

= 2.64

5 0

2 years ago

The weight of corn chips dispensed into a 14-ounce bag by the dispensing machine has been identified as possessing a normal dist

mamaluj [8]

The probability that a normally distributed dataset with a mean, μ, and statndard deviation, σ, exceeds a value x, is given by

$P(X\ \textgreater \ x)=1-P(X\ \textless \ x)=1-P\left(z\ \textless \ \frac{x-\mu}{\frac{\sigma}{\sqrt{n}}} \right)$

Given that the weight of corn chips dispensed into a 14-ounce bag by the dispensing machine is a normal distribution with a mean of 14.5 ounces and a standard deviation of 0.2 ounce.

If 100 bags of chips are randomly selected the probability that the mean weight of these 100 bags exceeds 14.6 ounces is given by

$P(X\ \textgreater \ 14.6)=1-P\left(z\ \textless \ \frac{14.6-14.5}{\frac{0.2}{\sqrt{100}}} \right) \\ \\ =1-P\left(z\ \textless \ \frac{0.1}{\frac{0.2}{10}} \right)=1-P\left(z\ \textless \ \frac{0.1}{0.02} \right) \\ \\ =1-P(z\ \textless \ 5)=1-1=0$

Therefore, the probability that the mean weight of these 100 bags exceeds 14.6 ounces is 0.

7 0

2 years ago