In a sequence of numbers, each number other than the first two is the sum of the two immediately preceding numbers from it. If the first two numbers in the sequence are 4 and 7, then the sixth number is
- (a) 29
- (b) 37
- (c) 43
- (d) 47 ✓ UPSC's answer
Why the answer is (d)
• The sequence follows the rule where each term is the sum of the two preceding terms, starting with 4 and 7.
• The third number is 4 + 7 = 11.
• The fourth number is 7 + 11 = 18.
• The fifth number is 11 + 18 = 29.
• The sixth number is 18 + 29 = 47.
• Therefore, the sixth number in the sequence is 47, which corresponds to option (d).
Why the other options are wrong
- (a) 29
- 29 is the fifth number in the sequence, not the sixth.
- (b) 37
- 37 is not a term in this specific Fibonacci-like sequence starting with 4 and 7.
- (c) 43
- 43 is not a term in this specific Fibonacci-like sequence starting with 4 and 7.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2026, held on 24 May 2026. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.