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1. The next number in the sequence 3, 4,8,17,33,.....is-
- A. 54
- B. 54
- C. 54
- D. 54
Answer: Option C
Explanation:
To find the next number in the sequence, we can look for a pattern in the differences between consecutive terms:
4 - 3 = 1 8 - 4 = 4 17 - 8 = 9 33 - 17 = 16
We can see that the differences between consecutive terms are perfect squares: 1^2, 2^2, 3^2, and 4^2. This suggests that the pattern might be related to square numbers.
Let's continue this pattern:
The next perfect square after 4^2 (16) is 5^2 (25).
So, to find the next term in the sequence, we add the next square number:
33 + 25 = 58
Therefore, the next number in the sequence is 58.
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