Answer:
Therefore, the next number in the sequence is 277.
Explanation:
The pattern in the given sequence involves a recursive formula:
Start with 4.
Multiply by 2 and add 1 to get the next term:
4×2+1=9.
Then, multiply the previous term by 2 and subtract 1 to get the next term:
9×2−1=18−1=17.
Repeat this process for each subsequent term:
17×2+1=34+1=35
35×2−1=70−1=69
69×2+1=138+1=139
So, the next number in the sequence should be
139×2−1=278−1=277.
Therefore, the next number in the sequence is 277.