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3 years ago

7

The sum of three natural numbers is 720. The second number is 2 times larger than the first and 105 smaller than the third numbe

r.what is the difference between the largest number and the smallest number?

1 answer:

Klio2033 [76]3 years ago

8 0

Here is the solution

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Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

8 0

2 years ago

Diego lives 1/2 mile from school. Jonah lives 5% as far from school as Diego. How far, in miles, does diego live from school?

Elden [556K]

Answer:

The answer is .25

Step-by-step explanation:

convert 1/2 to .5 the multiply .5 by .5 which gives you .25

hope this helps

7 0

2 years ago

HELP PLEASE I NEED TO TURN THIS IN BEFORE WEDNESDAY

JulijaS [17]

Answer:

451

Step-by-step explanation:

4 0

2 years ago

jek_recluse [69]

Answer:

(B) 3265.50

Step-by-step explanation:

.07 * 46650 = 3265.5

Hope this helps!!!!! :)

5 0

3 years ago

Read 2 more answers

There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 se

Gelneren [198K]

Answer:

the 25% chance is wrong, it is actually 20%

Step-by-step explanation:

Based on the table of trials shown in the picture, it seems that the 25% chance is wrong. In the table, there are 10 trials and each one has 5 numbers generated, meaning there are a total of 50 numbers generated. Out of these 50 numbers, only 10 are the number 3. Since 3 is the only number that represents a three-point shot, that would make it a 20% (10 / 50) chance that Dane makes a three-point shot in a basketball game.

3 0

3 years ago