Question

The next number in the sequence 5, 8, 6, 9, 7, 10, 8, _ _ _ _ is

• A. 9
• B. 10
• C. 11
• D. 12

Hint:

Try splitting sequences into alternating patterns.

Answer 1

The Correct Option is C

To determine the next number in the sequence 5, 8, 6, 9, 7, 10, 8, let's analyze the pattern of the given sequence:

1. The sequence starts with the number 5 and alternates between increasing and decreasing the numbers:
   • \(5 \rightarrow 8\) (an increase of 3)
   • \(8 \rightarrow 6\) (a decrease of 2)
   • \(6 \rightarrow 9\) (an increase of 3)
   • \(9 \rightarrow 7\) (a decrease of 2)
   • \(7 \rightarrow 10\) (an increase of 3)
   • \(10 \rightarrow 8\) (a decrease of 2)
2. From the pattern observed, we can see that it alternates between increasing by 3 and then decreasing by 2.
3. To find the next number after 8, we should increase by 3.
4. By adding 3 to 8:
   • \(8 + 3 = 11\)

Therefore, the next number in the sequence is 11, making the sequence: 5, 8, 6, 9, 7, 10, 8, 11.