Multiple choice

Directions: Choose the correct alternative to continue the given series. 3, 5, 9, 17, 33, ___

  1. 48

  2. 49

  3. 63

  4. 65
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The pattern is x(n+1) = 2*x(n) - 1. 3*2-1=5, 5*2-1=9, 9*2-1=17, 17*2-1=33, 33*2-1=65.

AI explanation

The differences between consecutive terms are 2, 4, 8 and 16. Continuing this pattern of doubling the difference, the next difference is 32. Adding 32 to 33 gives 65.

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