Question:
Various terms of a series are given with one term missing as shown by (?). Choose the missing term.\[
225, 7Y7, 14X9, 23W11, 34V13, (?)
\]
Various terms of a series are given with one term missing as shown by (?). Choose the missing term.\[
225, 7Y7, 14X9, 23W11, 34V13, (?)
\]
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When solving numerical and letter-based sequences, always break the sequence into distinct parts (numbers, letters) and identify the progression pattern separately for each.
Updated On: Mar 10, 2025
- 27U24
- 45U15
- 47U15
- 27V14
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The Correct Option is C
Solution and Explanation
Step 1: Observe the pattern in the series
The sequence alternates between numbers and alphabets/numbers as: - 225, 7Y7, 14X9, 23W11, 34V13.
Step 2: Analyze the first numbers
The first part of the sequence shows the numbers: - 225, 7, 14, 23, 34.
The pattern shows that the numbers are increasing by 7, 7, 9, and 11 respectively:
- 7 - 225 = 7
- 14 - 7 = 7
- 23 - 14 = 9
- 34 - 23 = 11
The next difference would be 13: 34 + 13 = 47.
Step 3: Analyze the second letters
The second part of each term follows this sequence: Y, X, W, V.
This is decreasing by 1 alphabetically: Y → X → W → V.
The next letter after V would be U.
Step 4: Analyze the third number in each term
The third number follows: 7, 9, 11, 13.
The pattern is increasing by 2 each time.
So, the next number would be 15.
Step 5: Final Answer
The next term in the series is 47U15. Final Answer: The correct answer is (c) 47U15.
The sequence alternates between numbers and alphabets/numbers as: - 225, 7Y7, 14X9, 23W11, 34V13.
Step 2: Analyze the first numbers
The first part of the sequence shows the numbers: - 225, 7, 14, 23, 34.
The pattern shows that the numbers are increasing by 7, 7, 9, and 11 respectively:
- 7 - 225 = 7
- 14 - 7 = 7
- 23 - 14 = 9
- 34 - 23 = 11
The next difference would be 13: 34 + 13 = 47.
Step 3: Analyze the second letters
The second part of each term follows this sequence: Y, X, W, V.
This is decreasing by 1 alphabetically: Y → X → W → V.
The next letter after V would be U.
Step 4: Analyze the third number in each term
The third number follows: 7, 9, 11, 13.
The pattern is increasing by 2 each time.
So, the next number would be 15.
Step 5: Final Answer
The next term in the series is 47U15. Final Answer: The correct answer is (c) 47U15.
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