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Directions to Solve
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question -
4, 9, 25, ?, 121, 169, 289, 361
  • a)
    49
  • b)
    64
  • c)
    81
  • d)
    87
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The given series consists of squares of consecutive prime numbers
i.e. 22, 32, 52,.....,
112, 132, 172, 192.
So, missing term = 72 = 49.
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Most Upvoted Answer
Directions to Solve ...
Pattern Analysis:
To find the missing number in the given series, we need to analyze the pattern followed by the numbers.

The given series is: 4, 9, 25, ?, 121, 169, 289, 361

Step 1:
Let's analyze the difference between consecutive numbers in the series:

- The difference between 9 and 4 is 5.
- The difference between 25 and 9 is 16.
- The difference between 121 and 25 is 96.
- The difference between 169 and 121 is 48.
- The difference between 289 and 169 is 120.
- The difference between 361 and 289 is 72.

Step 2:
Now, let's analyze the differences obtained in Step 1:

- The difference between 16 and 5 is 11.
- The difference between 96 and 16 is 80.
- The difference between 48 and 96 is -48.
- The difference between 120 and 48 is 72.
- The difference between 72 and 120 is -48.

Step 3:
By observing the differences obtained in Step 2, we can see that they are alternating between positive and negative differences.

Step 4:
Let's calculate the next positive difference:
- The previous positive difference was 72, so the next positive difference should be 72.

Step 5:
Now, add the positive difference to the last number in the series:
- 361 + 72 = 433

Step 6:
Therefore, the missing number in the series is 433.

Conclusion:
The correct alternative that will continue the same pattern and replace the question mark in the given series is 433.
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Community Answer
Directions to Solve ...
49 because all are are square of prime numbers till 19
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Directions to Solve Choose the correct alternative that will continue the same pattern and replace the question mark in the given series. Question - 4, 9, 25, ?, 121, 169, 289, 361a)49b)64c)81d)87Correct answer is option 'A'. Can you explain this answer?
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