What number should come next in the sequence 2, 9, 5, 13, 10, 19, 17?

by

To determine the next number in the sequence 2, 9, 5, 13, 10, 19, 17, we first need to analyze the pattern.

Let’s break down the sequence:

  • The first set of numbers: 2, 5, 10, 17
  • The second set of numbers: 9, 13, 19

We can observe the following:

  1. The first numbers of each pair follow an increasing pattern: 2, 5 (+3), 10 (+5), 17 (+7). The difference between consecutive increments appears to increase by 2.
  2. The second numbers of each pair also follow an increasing pattern: 9, 13 (+4), 19 (+6). Here, the increments are consistently increasing by 2 as well.

Therefore, the next number in the sequence will logically follow the pattern established. For the first set, after 17, we add 9 (the next increment) to get:

  • 17 + 9 = 26

For the second set, after 19, we would add 8 (the next increment) to get:

  • 19 + 8 = 27

This indicates that the next number that fits the established pattern of regular increments would indeed be 26.

Thus, the answer to the question is that the next number in the sequence 2, 9, 5, 13, 10, 19, 17 should be 26.

Leave a Comment