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1 . The next number in the sequence 3, 4,8,17,33,.....is-

A. 54
B. 56
C. 58
D. 60

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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.

সমন্বিত ৭ ব্যাংক ও ১টি আর্থিক | সিনিয়র_অফিসার | 27-11-2021

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