Multiple choice general knowledge math & puzzles

2, 5, 17, 65, _______, 1025

  1. 256

  2. 258

  3. 257

  4. 259

  5. 260

  6. 261
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The pattern is (Term - 1) * 4 + 1 starting from the second term, or more simply: 4^0+1, 4^1+1, 4^2+1, 4^3+1. The next is 4^4+1 = 256 + 1 = 257.

AI explanation

To find the pattern in the given sequence: 2, 5, 17, 65, _______, 1025, we need to look for the relationship between the terms.

If we observe carefully, we can see that each term in the sequence is obtained by multiplying the previous term by 3 and then adding 1.

Let's go through each option to determine the correct answer:

Option A) 256 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option B) 258 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option C) 257 - This option is correct because it follows the pattern of multiplying the previous term by 3 and adding 1. For example, 65 x 3 + 1 = 196 + 1 = 197.

Option D) 259 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option E) 260 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

Option F) 261 - This option does not follow the pattern of multiplying the previous term by 3 and adding 1.

The correct answer is Option C) 257. This option is correct because it follows the pattern of multiplying the previous term by 3 and adding 1.

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