Q63.If {ai}ni=1 , where n is an even integer, is an arithmetic progression with common difference 1 , and n ∑ni=1 ai = 192, ∑ i=12 a2i = 120 , then n is equal to (1) 18 (2) 36 (3) 96 (4) 48 JEE Main 2022 (24 Jun Shift 1) JEE Main Previous Year Paper
What This Question Tests
This question involves an arithmetic progression and requires solving a system of equations derived from the sum of its terms and the sum of the squares of its even-indexed terms to find 'n'.
Concepts Tested
Formulas Used
Sn = n/2(2a + (n-1)d)
Sum of squares (special manipulation for AP)
📚 NCERT Sections This Tests
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13.5 The Q value of a nuclear reaction A + b ® C + d is defined by Q = [ mA + mb – mC – md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H →12 H+12 H (ii) 126 C+126 C →1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progression
- Year
- 2022
- Shift
- 24 Jun Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences & Series
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