Question

0,1 0,5 2,5 12,5нади закономерность и продолжи 1,2 2,4 4,8 9,6

Answer 1

0,1;0,5;2,5;12,5;62,5

1,2;2,4;4,8;9,6;19,2

Answer 2

To identify the pattern in the given sequence, let's examine the differences between consecutive terms:

0.5 - 0.1 = 0.4 2.5 - 0.5 = 2.0 12.5 - 2.5 = 10.0

The differences between consecutive terms are increasing by a factor of 2. So, it appears to be a geometric sequence with a common ratio of 2.

Now, let's use this pattern to continue the sequence:

Starting with 12.5, we will multiply each term by 2 to get the next term.

12.5 * 2 = 25 25 * 2 = 50 50 * 2 = 100

So, the extended sequence is:

0.1, 0.5, 2.5, 12.5, 25, 50, 100

Similarly, let's check the differences between consecutive terms in the second sequence:

2.4 - 1.2 = 1.2 4.8 - 2.4 = 2.4 9.6 - 4.8 = 4.8

The differences between consecutive terms are also increasing by a factor of 2 in this sequence. So, it is also a geometric sequence with a common ratio of 2.

Now, let's continue this sequence:

Starting with 9.6, we will multiply each term by 2 to get the next term.

9.6 * 2 = 19.2 19.2 * 2 = 38.4

So, the extended sequence is:

1.2, 2.4, 4.8, 9.6, 19.2, 38.4