Question

Продолжи ряд чисел:1)1,3,7,13,21,31..2)3,4,7,12,19,28...)1,

Answer 1

1)...31, 43
2)...28, 39

Answer 2

1. 1, 3, 7, 13, 21, 31, 43, 57, ...

To continue this series, you can observe that the differences between consecutive numbers are increasing by 2 each time. So, to find the next number, add 2 to the previous difference and then add it to the last number in the series.

For example:

• Difference between 3 and 1 is 2.
• Difference between 7 and 3 is 4 (increased by 2).
• Difference between 13 and 7 is 6 (increased by 2).
• Difference between 21 and 13 is 8 (increased by 2).
• Difference between 31 and 21 is 10 (increased by 2).

Now, to find the next number:

• Difference between 43 and 31 is 12 (increased by 2).
• Add 12 to the last number (31): 31 + 12 = 43.

So, the next number in the series is 43.

2. 3, 4, 7, 12, 19, 28, 39, ...

To continue this series, you can observe that the differences between consecutive numbers are increasing by 1 each time. So, to find the next number, add 1 to the previous difference and then add it to the last number in the series.

For example:

• Difference between 4 and 3 is 1.
• Difference between 7 and 4 is 3 (increased by 1).
• Difference between 12 and 7 is 5 (increased by 1).
• Difference between 19 and 12 is 7 (increased by 1).
• Difference between 28 and 19 is 9 (increased by 1).

Now, to find the next number:

• Difference between 39 and 28 is 11 (increased by 1).
• Add 11 to the last number (28): 28 + 11 = 39.

So, the next number in the series is 39.