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Lorico [155]
3 years ago
9

What is the explicit rule for this geometric sequence? 2, 6, 18, 54, …

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

A term at position n can be expressed as \[2*3^{n-1}\]

Step-by-step explanation:

The given geometric sequence is 2, 6, 18, 54, …

Starting term = 2

Second term = 6

So second term is 3 times the first term.

Similarly, Third term = 18

This is 3 times the second term, that is , 3 * 6

Fourth term is is 54.

This is 3 times the third term, that is , 3 * 18

Generalizing, a term in the sequence can be expressed as \[2*3^{n-1}\]

where n represents the position of the term in the sequence.

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6,000 dollars is invested in two different accounts earning 3%and 5% interest. At the end of the year, the two accounts earned 2
nadezda [96]
Hi there

To solve this question
0.03x+0.05 (6000-x)=220
Solve for x to know How much money was invested at 3%
First multiply the values
0.03x+0.05×6000-0.05x=220
0.03x+300-0.05x=220
Second calculate the difference and rearranging the values
0.03x-0.05x=220-300
-0.02x=-80
Divide both sides by-0.02 and divide the values
X=-0.02/-80
x=4000 invested at 3% this is the answer of your question

While the amount invested at 5% is
6000-4000=2000

Good luck!
5 0
3 years ago
Find the points<br> that go in<br> between (-4,7)<br> and (6,5)
Marina CMI [18]
The point in between is (1,2)
7 0
3 years ago
Explain how to multiply 641 by 63.
alex41 [277]

Answer:

sure

Step-by-step explanation:

1) line up 641 and 63

   641

x__63_

2) multiply 3 by 1 then 4 then 6 and carry the tenths place number if there is one

  1

  641

x__63_

  1923

3) add a zero under the 3 to hold the ones place and multiply 6 by 1 then 4 then 6 and since we’re working with the tenths place now and dont forget to carry numbers if you need to

     2

     641

  x__63_

     1923

  38460

4) add your two numbers together

    1 1    

    38460

+___1923_

     40383

so that is your answer “40383”

lol sorry that this was so long

4 0
2 years ago
Read 2 more answers
Find the area of the shaded region
FrozenT [24]

Answer:

16 square units

Step-by-step explanation:

The area of the large triangle is

A = 1/2 bh

A = 1/2 (9) * 8 = 36

The area of the small triangle is

A = 1/2 bh

A = 1/2 (8) (5) = 20

The difference is the shaded region

A = 36-20 = 16

6 0
2 years ago
Solve for T <br><br> D=RT <br> Please explain
Crank
T=D/R

You must isolate T so you divide R on both sides. This isolates T and gives you the answer.
5 0
3 years ago
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