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3 years ago

Please help ASAP! Please PLEase

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

5 0

Answer:I'm 80% sure it is c?!?!

Step-by-step explanation:

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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

3 years ago

In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 start fraction, 1, divided by, 10, end fraction times

MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples

9.30<u>4</u>,

9.00<u>4</u>

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as $\frac{1}{10} \times$ the digit 4 in 3.8463

That is

$\frac{1}{10} \times 0.04 = 0.004$

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0

3 years ago

Which of the following is false?

Vladimir [108]

A triangle can be drawn with exactly one acute angle is false (assuming the triangle is drawn on a 2-dimensional plane).

4 0

3 years ago

Read 2 more answers

David hikes 2 ¼ miles in ½ an hour at this rate, how long will it take him to walk 18 miles?

8090 [49]

So in 30 min will hike 2 1/4 miles =9 of those 1/4 miles therefore in 10 min will hike 9/3 =3 of those 1/4 miles = 3/4 of a mile

3/4 mile in 10 min;
(3/4)• 4 = 3 miles in 40 min;
6 miles in 80 min;
9 miles in 120 min;
12 miles in 160 min;
15 miles in 200 min;
18 miles in 240 min or 4 hours

5 0

3 years ago

Find the value of 35° 9

Liono4ka [1.6K]

Answer:

26°9

iuuiiii not sure tttt

8 0

2 years ago