Question

Find the next term of the following sequence. 12, 6, 3, ...

Answer 1

I think the answer is 1 and 1/2 because half of 12 is 6 and half of 6 is 3 so my answer is 1 and 1/2

Answer 2

Answer:

The next term is  $\frac{3}{2}$

Step-by-step explanation:

Sequence: 12, 6, 3, .........

We need to find the next term of the sequence.

First we see the nature of sequence.

First term a=12

Second term, a2=6

Third term, a3=3

Ratio of second term to first term, 6:12 = 1:2

Ratio of third term to second term, 3:6 = 1:2

We can see the ratio of consecutive term is same, 1:2

Thus, It should be in geometric series.

Fourth term must be half of third term

$a_n=12(\frac{1}{2})^{n-1}$

Next term = $\frac{3}{2}$

Hence, The next term is  $\frac{3}{2}$