Question:
Find the fifth term of the sequence.
I) Average of the first four terms of the sequence is 53
II) Third term of the sequence is 72
Find the fifth term of the sequence.
I) Average of the first four terms of the sequence is 53
II) Third term of the sequence is 72
I) Average of the first four terms of the sequence is 53
II) Third term of the sequence is 72
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Unless the type of sequence (AP, GP, etc.) is specified, individual terms or averages are usually not enough to find other terms.
Updated On: Jun 26, 2026
- Statement I alone is sufficient
- Statement II alone is sufficient
- Statements I and II together are sufficient
- Statements I and II together are not sufficient
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Finding a specific term in a sequence requires knowing the rule of the sequence or enough specific terms to derive it.
Step 2: Analysis of Statement I
Average of first four terms is 53. Sum = $53 \times 4 = 212$. This provides no info about the 5th term. Not sufficient.
Step 3: Analysis of Statement II
$T_3 = 72$. This single term does not reveal the pattern or subsequent terms. Not sufficient.
Step 4: Combined Analysis
Knowing the sum of the first four terms and the value of the third term still doesn't provide the pattern (arithmetic, geometric, etc.) or the 5th term.
Step 5: Conclusion
Correct answer is (4). Final Answer: (4)
Finding a specific term in a sequence requires knowing the rule of the sequence or enough specific terms to derive it.
Step 2: Analysis of Statement I
Average of first four terms is 53. Sum = $53 \times 4 = 212$. This provides no info about the 5th term. Not sufficient.
Step 3: Analysis of Statement II
$T_3 = 72$. This single term does not reveal the pattern or subsequent terms. Not sufficient.
Step 4: Combined Analysis
Knowing the sum of the first four terms and the value of the third term still doesn't provide the pattern (arithmetic, geometric, etc.) or the 5th term.
Step 5: Conclusion
Correct answer is (4). Final Answer: (4)
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II) Rahul's brother, who was born in 1964, is 35 years younger to his mother. - Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights?
I) V is taller than Q but shorter than M.
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