Multiple choice general knowledge math & puzzles

1,2,9,64,625,?

  1. 189

  2. 625

  3. 7776

  4. 149
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The pattern follows n^(n-1): 1¹=1, 2³=8, 9²=81 (but 64 given, so pattern may be 1¹=1, 2³=8, 4²=16... wait). Actually: 1^1=1, 2^3=8 (not 2), 3^2=9 (but 64 given). Correct pattern is: 1^1=1, 2^3=8, 4^3=64, 5^4=625. So next is 6^5=7776. The base increases: 1,2,4,5,6 and exponent is 1,3,3,4,5.

AI explanation

To solve this question, we need to identify the pattern or rule that governs the sequence of numbers. Let's analyze the given sequence:

1, 2, 9, 64, 625, ?

Looking closely, we can see that each number in the sequence is obtained by raising the previous number to a certain power:

2 = 1^2 9 = 2^2 64 = 4^3 625 = 5^4

Therefore, to find the next number in the sequence, we need to raise 5 to the power of 5:

5^5 = 3125

So, the missing number in the sequence is 3125.

Now, let's go through each option to determine the correct answer:

Option A) 189 - This option is incorrect because it does not follow the pattern observed in the sequence. Option B) 625 - This option is incorrect because it is already present in the given sequence. Option C) 7776 - This option is incorrect because it does not follow the pattern observed in the sequence. Option D) 149 - This option is incorrect because it does not follow the pattern observed in the sequence.

The correct answer is option C) 7776.

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