Answer :

Final answer:

The missing number in the sequence 5, 19, 61, 187, ? is 565. This is found by following the observed pattern where each term is being multiplied by 3 and then 4 is added to get the next number in the sequence.


Explanation:

The missing number in the sequence can be found by observing the relationship between the existing numbers in the sequence. We can see that the sequence follows a specific pattern of multiplication and addition. Here's the pattern:

  • 5 * 3 + 4 = 19
  • 19 * 3 + 4 = 61
  • 61 * 3 + 4 = 187

A common pattern can be observed here where each term is being multiplied by 3 and then added by 4 to get the next number in the sequence. Following this pattern, the next number in the sequence would be:

187 * 3 + 4 = 565

Learn more about Number Sequences here:

https://brainly.com/question/35990937


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