Question

1. Определите закономерность последовательности и продолжите ряд: 0; 4; 2; 6; 3; 7; 3,5; ... 100; 99,5; 98; 95,5; 92; 87,5; ... 71; 81; 74; 77; 77; 73; 80; 69; ... 9; 16; 13; 13; 17; 10; 21; 7; ... 16; 72; 38; 94; 50; ...3; 6; 9; 15; 24; 39; 63; ... 123; 124; 126; 132; 133; 136; 142; 143; 147; ... 16; 23; 19; 19; 22; 15; 25; ... 100; 93; 79; 58; ... 27; 54; ...; 108; 135; 162; 189; 216​

Answer 1

Finding the Pattern and Continuing the Sequence

To find the pattern and continue the given sequences, let's analyze each sequence individually:

1. Sequence: 0; 4; 2; 6; 3; 7; 3.5; ... - The pattern seems to alternate between adding 4 and subtracting 2. - Continuing the sequence, the next number would be obtained by subtracting 2 from the previous number: 1.5.

2. Sequence: 100; 99.5; 98; 95.5; 92; 87.5; ... - The pattern seems to subtract 0.5, then subtract 1.5, then subtract 2.5, and so on. - Continuing the sequence, the next number would be obtained by subtracting 3.5 from the previous number: 84.

3. Sequence: 71; 81; 74; 77; 77; 73; 80; ... - The pattern seems to alternate between adding 10 and subtracting 7. - Continuing the sequence, the next number would be obtained by adding 10 to the previous number: 90.

4. Sequence: 9; 16; 13; 13; 17; 10; 21; ... - The pattern seems to alternate between adding 7 and subtracting 3. - Continuing the sequence, the next number would be obtained by adding 7 to the previous number: 28.

5. Sequence: 16; 72; 38; 94; 50; ... - The pattern seems to alternate between multiplying by 4 and subtracting 34. - Continuing the sequence, the next number would be obtained by multiplying 50 by 4 and subtracting 34: 166.

6. Sequence: 3; 6; 9; 15; 24; 39; ... - The pattern seems to follow a sequence of adding consecutive odd numbers: 3, 3+3=6, 6+3+3=9, 9+3+3+3=15, and so on. - Continuing the sequence, the next number would be obtained by adding 3+3+3+3+3=18 to the previous number: 57.

7. Sequence: 123; 124; 126; 132; 133; 136; 142; ... - The pattern seems to alternate between adding 1 and adding 8. - Continuing the sequence, the next number would be obtained by adding 1 to the previous number: 143.

8. Sequence: 16; 23; 19; 19; 22; 15; 25; ... - The pattern seems to alternate between adding 7 and subtracting 4. - Continuing the sequence, the next number would be obtained by adding 7 to the previous number: 32.

9. Sequence: 100; 93; 79; 58; ... - The pattern seems to subtract 7, then subtract 14, then subtract 21, and so on. - Continuing the sequence, the next number would be obtained by subtracting 28 from the previous number: 30.

10. Sequence: 27; 54; ... - The pattern seems to multiply by 2. - Continuing the sequence, the next number would be obtained by multiplying 54 by 2: 108.

Therefore, the continued sequences are as follows:

1. 0; 4; 2; 6; 3; 7; 3.5; 1.5 2. 100; 99.5; 98; 95.5; 92; 87.5; 84 3. 71; 81; 74; 77; 77; 73; 80; 90 4. 9; 16; 13; 13; 17; 10; 21; 28 5. 16; 72; 38; 94; 50; 166 6. 3; 6; 9; 15; 24; 39; 57 7. 123; 124; 126; 132; 133; 136; 142; 143 8. 16; 23; 19; 19; 22; 15; 25; 32 9. 100; 93; 79; 58; 30 10. 27; 54; 108

Please note that these patterns are based on the given sequences and may not necessarily represent the only possible patterns.