Question

4, 32, 16, ..., 4, 2;3, 10, 26, 72, 196,...​

Answer 1

Ответ:...............8

Answer 2

The given sequences appear to be a series of numbers. Let's try to understand the patterns in each sequence:

1. Sequence: 4, 32, 16, ..., 4, 2 It seems like the sequence is decreasing and then stabilizing. Let's break down the pattern:

   • 4 * 2^3 = 32
   • 32 / 2 = 16
   • 16 / 4 = 4
   • 4 / 2 = 2

   So, the pattern involves alternating between multiplication and division by powers of 2.

2. Sequence: 3, 10, 26, 72, 196, ... This sequence involves increasing numbers, so the pattern might be more complex. Let's take a look at the differences between consecutive terms:

   • 10 - 3 = 7
   • 26 - 10 = 16
   • 72 - 26 = 46
   • 196 - 72 = 124

   The differences between consecutive terms are increasing, which suggests that the pattern might involve adding consecutive odd numbers:

   • 7 = 1^2 + 2^2
   • 16 = 3^2 + 2^2
   • 46 = 5^2 + 4^2
   • 124 = 7^2 + 5^2

   So, the pattern seems to be that each term is the sum of two consecutive odd perfect squares.

In summary:

1. Sequence: 4, 32, 16, ..., 4, 2 Pattern: Alternating multiplication and division by powers of 2.

2. Sequence: 3, 10, 26, 72, 196, ... Pattern: Each term is the sum of two consecutive odd perfect squares.

Please note that these interpretations are based on the information provided and the patterns might not be unique. If there's any additional context or information, the patterns could be different.