Find the common ratio for the following sequence.0.1, 0.01, 0.001,

9 answers
Question:

Find the common ratio for the following sequence.
0.1, 0.01, 0.001,

Answers

0.1 is the common ratio, you can see them all being multiplied by 0.1, hope this helps!

common ratio for the given sequence is 0.1

Step-by-step explanation:

Common ratio(r) defined as the ratio of term to the previous term.

Given the sequence:

0.1, 0.01, 0.001, ...

[tex]a_1 = 0.1[/tex]

[tex]a_2 = 0.01[/tex]

[tex]a_3 = 0.001[/tex] ......

by definition of common difference;

[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}.....[/tex]

Substitute the given values we have;

[tex]r = \frac{0.01}{0.1}=\frac{0.001}{0.01}.....[/tex]

Simplify:

[tex]r = 0.1[/tex]

Therefore, the common ratio for the given sequence is 0.1

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001[/tex]

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{0.01}{0.1}[/tex]

[tex]r=0.1[/tex]

The common ratio of the sequence. 0.1, 0.01, 0.001, ...... is 0.1 .

Step-by-step explanation:

The geometric series in the form

[tex]a, ar, ar^{2},....[/tex]

Where a is the first term r is the common ratio .

[tex]r = \frac{ar}{a}[/tex]

As given the sequence in the question

0.1, 0.01, 0.001, .......

a = 0.1

ar = 0.01

[tex]r = \frac{0.01}{0.1}[/tex]

r = 0.1

Therefore the common ratio of the sequence. 0.1, 0.01, 0.001, ...... is 0.1 .

The common ratio is 0.10

0.1   x 0.1 = 0.01
0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10
common ratio = 0.001/0.01 = 0.10

Well, you divide by 10 each time, so a common ratio is 1/10. Haven't done this in a while so. Not entirely sure

The common ratio is 0.10

Step-by-step explanation:

0.1 x 0.1 = 0.01

0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10

common ratio = 0.001/0.01 = 0.10

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?

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