JEE Mains 15-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

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Question : 27 of 90

Marks: +1, -0

If the sum of the series (‌

1

2

−‌

1

3

)+(‌

1

22

−‌

1

2⋅3

+‌

1

32

)+(‌

1

23

−‌

1

22⋅3

+‌

1

2⋅32

−‌

1

33

)+ (‌

1

24

−‌

1

22⋅3

+‌

1

22⋅32

−‌

1

2⋅32

+‌

1

34

)+....... is ‌

α

β

, where α and β are co-prime, then α+3β is equal to _______

[15-Apr-2023 shift 1]

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