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4 years ago

What is another pattern in the numbers? Rule: add 1, multiply by 2 first term: 2

Mathematics

1 answer:

bulgar [2K]4 years ago

5 0

If you mean the sequence
2,6,14,30,62,126,.....
then your equation will be
$a(n) = {2}^{n + 1} - 2$

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$600 is deposited in an account that pays 7% annual interest, compounded continuously. What is the balance after 5 years? Please

QveST [7]

Answer:

810

Step-by-step explanation:

600 x7x 5/100 = 210

balance after 5yrs is 210 + 600=810

4 0

3 years ago

Which geometric series converges?

kvv77 [185]

Answer:

Option (1)

Step-by-step explanation:

In a geometric series,

$\sum_{n=0}^{\infty}ar^n=a+ar^1+ar^2+....$

Here r = $\frac{a_n}{a_{n-1}}$

For |r| < 1, series will converge.

For |r| > 1, series will diverge.

Option (1)

Given geometric series is,

$\frac{1}{2}+\frac{1}{4}+ \frac{1}{8}+ \frac{1}{16}.......$

Common ratio = $\frac{\frac{1}{4}}{\frac{1}{2} }$

= $\frac{1}{2}$

Since, $\frac{1}{2}$

Series will converge.

Option (2)

$\frac{1}{2}+1+2+4+......$

r = $\frac{1}{\frac{1}{2}}=2$

Since, 2 > 1,

Series will diverge.

Option (3)

$\frac{1}{2}+ \frac{3}{2}+ \frac{9}{2}+ \frac{27}{2}+......$

Common ratio 'r' = $\frac{\frac{3}{2} }{\frac{1}{2} }=3$

Since, 3 > 1,

Series will diverge.

Option (4)

$\frac{1}{2}+3+18+108+.....$

Common ratio 'r' = $\frac{3}{\frac{1}{2}}=6$

Since, 6 > 1

Series will diverge.

Therefore, Option (1) will be the correct option.

6 0

3 years ago

Choose the symbol that correctly compares the fractions below.<br> 8/9 ? 1/9

gladu [14]

Answer:

Which means that this equation is also true: 8/9 > 1/9

Step-by-step explanation:

Is 8/9 less than 1/9? Is 8/9 smaller than 1/9? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

1/9 = 0.111

Then, we compare the two decimal numbers to get the answer.

0.889 is not less than 0.111.

Therefore, 8/9 is not less than 1/9 and the answer to the question "Is 8/9 less than 1/9?" is no.

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3 years ago

Use the function from question #14 to solve: Water fills a community pool steadily all day, at a constant rate of 2.3 feet of wa

Mamont248 [21]

There would be 8.12 feet of water after 4 hours.

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4 years ago

Hey, I need some help with this:

Naya [18.7K]

An inverse operation is writing the opposite sign to another sign

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4 years ago

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