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Fill in the next number in the list.
3, 5, 9, 15, 23, 33,

Sagot :

GinnyAnswer
Sure! Let's find the next number in the sequence:

1. We start with the given list of numbers: 3, 5, 9, 15, 23, 33.

2. Let's first determine the differences between consecutive numbers:
- [tex]\( 5 - 3 = 2 \)[/tex]
- [tex]\( 9 - 5 = 4 \)[/tex]
- [tex]\( 15 - 9 = 6 \)[/tex]
- [tex]\( 23 - 15 = 8 \)[/tex]
- [tex]\( 33 - 23 = 10 \)[/tex]

3. The differences between consecutive numbers in the list are: 2, 4, 6, 8, and 10.

4. Observing the pattern, we notice that each difference increases by 2:
- The difference series is 2, 4, 6, 8, 10.

5. Continuing the pattern, the next difference should be:
- [tex]\( 10 + 2 = 12 \)[/tex]

6. Adding this next difference to the last number in the original sequence to get the next number:
- [tex]\( 33 + 12 = 45 \)[/tex]

Therefore, the next number in the sequence is 45.
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