The provided series, 5 12 15, is actually part of a longer sequence: 5, 12, 15, 22, 25, 32, ... and it helps to understand the entire pattern to find the next two numbers in the series. According to the provided reference, each number is repeating itself (implicitly) before being increased by 12. Let's examine the full sequence pattern:
- 5
- 12 (5 + 7)
- 15 (12 + 3)
- 22 (15+7)
- 25 (22+3)
- 32 (25+7)
Following this pattern, we see an alternating increase of 7 and 3.
Therefore, the next numbers will be:
- The next number after 32 will be 32 +3 = 35
- The subsequent number will be 35+7= 42
The reference, however, states that "...each number is repeating itself and then it is increased by 12..." implying a different interpretation where each number is increased by a fixed number (first by 7, then by 3) repeating after every two numbers. The reference is incorrect in describing that each number is repeating itself; rather each increment (7, then 3) repeats. The reference also gives the answer for an entirely different series and its conclusion is erroneous and is therefore irrelevant to finding the solution for the provided number series.
Thus, the correct sequence, as discussed above is 5, 12, 15, 22, 25, 32, 35, 42
| Number | Pattern |
|---|---|
| 5 | |
| 12 | 5+7 |
| 15 | 12+3 |
| 22 | 15+7 |
| 25 | 22+3 |
| 32 | 25+7 |
| 35 | 32+3 |
| 42 | 35+7 |
Therefore, based on the correct analysis of the provided series, the next two numbers are 35 and 42.
