Question : The next number of the sequence 3, 5, 9, 17, 33, ... is:
Option 1: 65
Option 2: 60
Option 3: 50
Option 4: 49
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Correct Answer: 65
Solution :
The sequence 3, 5, 9, 17, 33,... is obtained by adding successively increasing the power of 2
n
(where n is 1, 2, 3 ...) to the previous term.
The first term is 3 and the second term is 5.
The difference between the second and first terms is 2.
The difference between the third and second terms is 4.
The difference between the fourth and third terms is 8.
The difference between the fifth and fourth terms is 16.
The difference between the required term (sixth term) and the fifth term will be 32.
Therefore, the next term in the sequence will be 65.
Hence, the correct answer is 65.
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