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Aliun [14]
3 years ago
9

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.

Mathematics
2 answers:
Leviafan [203]3 years ago
3 0
The common ratio is the current number divided by the previous. So the ratio is 1/2

The sequence is 12, 6, 3, 3/2, 3/4 ...

You can obtain any number multiplying the previous number times 1/2.

6 = 12 *(1/2)

3 = 6*(1/2)

3/2 = 3*(1/2)
Zarrin [17]3 years ago
3 0

Answer:

Common ratio = \frac{1}{2}

Step-by-step explanation:

A sequence that progresses geometrically has the first term as 12.

Each number is the previous number divided by 2.

so the sequence will be 12, 6, 3, 1.5...........

Explicit formula of a geometric sequence is given by

T_{n}=a(r)^{n-1}

Where T_{n} = nth term of the sequence

a = first term

r = common ratio

and n = number of term

In this sequence common ratio = \frac{\text{Successive term}}{\text{previous term}}

= \frac{6}{12}

= \frac{1}{2}

Therefore, common ratio will be \frac{1}{2}

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