Multiple choice general knowledge math & puzzles

7,6,10,27,104,-----

  1. 500

  2. 520

  3. 615

  4. 600

  5. 515
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The pattern involves multiplying by increasing integers and subtracting increasing amounts: 7×1-1=6, 6×2-2=10, 10×3-3=27, 27×4-4=104, 104×5-5=515. The pattern is: multiply by n, subtract n, where n starts at 1 and increases by 1 each time.

AI explanation

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

7, 6, 10, 27, 104, -----

The difference between the second and first terms is: 6 - 7 = -1. The difference between the third and second terms is: 10 - 6 = 4. The difference between the fourth and third terms is: 27 - 10 = 17. The difference between the fifth and fourth terms is: 104 - 27 = 77.

From the given differences, we can observe that the differences are increasing. Let's continue this pattern:

The difference between the sixth and fifth terms is: ? - 104 = ?

To find the missing difference, we can see that the differences are increasing by adding consecutive odd numbers: 1, 3, 5, 7, ...

So, the next difference should be 9.

104 + 9 = 113

Now, to find the next term in the sequence, we add the difference to the last term:

104 + 9 = 113

Therefore, the next term in the sequence is 113.

The correct answer is not provided in the options. Please check the options again and provide the correct answer.

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