Pattern Recognition in Numbers

Pattern recognition is a fundamental skill that is essential in solving mathematical problems. In this specific problem, we are given a sequence of numbers and are asked to identify the next number in the sequence. To solve the problem, we need to observe the given sequence and identify the pattern that governs the sequence.

Observation of the Sequence

The given sequence is 109, 101, 94, 88, 83, ?. We can observe the following pattern in the given sequence:

- Subtract 8 from the first number to get the second number (109 - 8 = 101)
- Subtract 7 from the second number to get the third number (101 - 7 = 94)
- Subtract 6 from the third number to get the fourth number (94 - 6 = 88)
- Subtract 5 from the fourth number to get the fifth number (88 - 5 = 83)

Therefore, the pattern that governs this sequence is "subtracting consecutive numbers from the previous number". By applying this pattern, we can find the next number in the sequence.

Solution

To find the next number in the sequence, we need to subtract 4 from the fifth number (83 - 4 = 79). Therefore, the next number in the sequence is 79.

Conclusion

In this problem, we learned how to identify the pattern in the given sequence of numbers and how to apply the pattern to find the next number. By mastering pattern recognition, we can improve our problem-solving skills and become better at mathematics.