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SCORPION-xisa [38]
3 years ago
10

Given the following geometric sequence, find the common ratio: {225, 45, 9...}

Mathematics
2 answers:
Tom [10]3 years ago
8 0

Answer:

\frac{1}{5}  is the common ratio

Step-by-step explanation:

Common ratio(r) states that the ratio of each term of a geometric sequence to the term preceding it.

r = \frac{a_2}{a_1} =\frac{a_3}{a_2}........\frac{a_{n+1}}{a_n}

Given the sequence:

225, 45, 9, .........

Here,

a_1 = 225

a_2 = 45

a_3 = 9 and so on...

Using definition to find r.

r = \frac{45}{225}=\frac{9}{45}......

After solving we get;

r = \frac{1}{5}

Therefore, the common ratio is, \frac{1}{5}

Maksim231197 [3]3 years ago
5 0

Answer:

r=\frac{1}{5}

Step-by-step explanation:

We are given that a geometric sequence

225,45,9,...

We have to find the common ratio of the geometric sequence.

a=225,a_2=45,a_3=9

r=\frac{a_2}{a_1}

a_2=ar

Substitute the values then we get

45=225r

r=\frac{45}{225}

r=\frac{1}{5}

Hence, the common ratio of the geometric sequence =\frac{1}{5}

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