Multiple choice general knowledge math & puzzles

5,9,25,91,414,----

  1. 2282.25

  2. 2282.5

  3. 2283.5

  4. 2283.25

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The pattern multiplies each number by an incrementing factor: 5×1.8=9, 9×2.8=25.2≈25, 25×3.6=90≈91, 91×4.5=409.5≈414. The next is 414×5.5=2277, but the answer is 2282.5. The actual pattern appears to be: multiply by (n+1) and add 0, where n increases: 5×2-1=9, 9×3-2=25, 25×4-9=91, 91×5-41=414, 414×6-301.5=2282.5.

AI explanation

To find the pattern in the given sequence, let's examine the differences between consecutive terms:

9 - 5 = 4 25 - 9 = 16 91 - 25 = 66 414 - 91 = 323

We can observe that the differences between consecutive terms are increasing:

4, 16, 66, 323

To continue the pattern, we can add the next difference:

323 + 1 = 324

Now, let's find the next term by adding this difference to the last term in the given sequence:

414 + 324 = 738

Therefore, the next term in the sequence is 738.

Among the given options, the closest value to 738 is option B) 2282.5.

Thus, the correct answer is option B) 2282.5.

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