What should come in place of the question mark (?) in the given series:

9, 17, 33, 65, 129, ?

Question

What should come in place of the question mark (?) in the given series:

9, 17, 33, 65, 129, ?

Accepted Answer

Let's analyze the pattern in the given series: 9, 17, 33, 65, 129, ?

Step 1: Find the difference between consecutive terms:
17 - 9 = 8
33 - 17 = 16
65 - 33 = 32
129 - 65 = 64

Step 2: Observe the differences: 8, 16, 32, 64
These are all powers of 2:
8 = 2^3
16 = 2^4
32 = 2^5
64 = 2^6

Step 3: The next difference should be 2^7 = 128

Step 4: Add this to the last term:
129 + 128 = 257

Therefore, the missing number is 257.

Answer

Answer

Answer