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UPSC Prelims

Mathematics

Theme:

Sequences and Series / श्रेणी और अनुक्रम

Q75 2022, Sequences and Series (Mathematics)

What is the value of X in the sequence 2, 12, 36, 80, 150, X?

अनुक्रम 2, 12, 36, 80, 150, X में X का मान क्या है?

Explanation

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1. Correct Answer
     ● Option B: 252
2. Explanation
         ○ To find the value of X in the sequence, observe the pattern in the differences between consecutive terms:
           ○ Difference between 12 and 2: *10*
           ○ Difference between 36 and 12: *24*
           ○ Difference between 80 and 36: *44*
           ○ Difference between 150 and 80: *70*
         ○ The differences themselves form a sequence: 10, 24, 44, 70.
         ○ The differences between these differences are:
           ○ 24 - 10 = *14*
           ○ 44 - 24 = *20*
           ○ 70 - 44 = *26*
         ○ The second-level differences are increasing by 6: 14, 20, 26.
         ○ The next difference should be 26 + 6 = *32*.
         ○ Add this to the last difference: 70 + 32 = *102*.
         ○ Add 102 to the last term in the sequence: 150 + 102 = 252.
         ○ Therefore, the value of X is 252.

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Q 75. 2022, Sequences and Series (Mathematics)

Mathematics

अनुक्रम 2, 12, 36, 80, 150, X में X का मान क्या है?

Explanation

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Mathematics

अनुक्रम 2, 12, 36, 80, 150, X में X का मान क्या है?

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John Doe

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