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100|36|?|16|20|?|

1 answer

To solve the sequence 100 | 36 | ? | 16 | 20 | ?, let's analyze the relationship between the numbers.

  1. Starting with 100 and 36, we can check for a pattern:

    • The difference between 100 and 36 is 64. (100 - 36 = 64)

  2. Next, from 36 to the next number (which we will call A):

    • We can check a relationship based on the previous operation. If we were to decrease by a similar pattern, we take:
    • Let's estimate. If we decrement similarly, we may consider approximately 28 from 36. (36 - 28 = 8, thus A could be around 8).

  3. Now look closer at the transition from A to 16:

    • A should logically decrease to 16; thus, if it were indeed A = 36 - 20 = 16 (but this was not our initial deduction).

We revise our estimate:

  • Going back from 100 downward, the observed drop suggests a significant decrease at each step, going progressively.

Let’s check the second next step from A to 16.

  1. 36 to A: could be around 16 (as an estimation sequence is somewhat smooth)
  2. To balance the approaches: When shifting between high to low, let’s align by halves or relatively.
  3. If we reckon with patterns as suggested earlier:
    • A likely number falls to similarly near whatever subsequent numbers may yield.

Approaching closer alongside the last set of known values (before the terminal boundary hints), we can deduce possible entries by observing commonality:

Checking the next stepping numbers yields A - 16 (13 upon recombination backward):

  • Finally, 20 could set the last number in adjustment.

Thus one possible solution exists where: 100 | 36 | 25 | 16 | 20 | 4 (the patterns cascade downward).

Here, A is 25 and the last entry dynamically suggested could become 4.

Inputting possible outcomes offers rounded sense against each numeral observed toward mathematic reduction.

Conclusively, one potential filling would thus yield:

  • \( ? = 25 \) moving onward and downward lead this pattern to suggest value adjustments systematically from the highest yield.

Results presented yield:

  • \( 100 | 36 | 25 | 16 | 20 | 4 \)

Thus to summarize: 100 | 36 | 25 | 16 | 20 | 4.