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UPSC NDA I 2024 Mathematics Paper

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Consider the following for the next two (02) items that follow :

xi	1	2	3	⋯	n
fi	1	2−1	2−2	...	2−(n−1)

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Question : 117

Total: 120

What is

xifi equal to ?

‌
2n+1−n+2
2n−1
‌
2n+1−n−2
2n−1
‌
2n+1+n+2
2n−1
‌
2n+1−n−2
2n

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