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Sequences and Series question

2023 · 11 Apr · Shift 1 · Q27

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JEE Main
Mathematics
Sequences and Series
2023 · 11 Apr · Shift 1 · Q27

Sequences and Series question

2023 · 11 Apr · Shift 1 · Q27

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

Let

x_{1}, x_{2}, \ldots, x_{100}

be in an arithmetic progression, with

x_{1}=2

and their mean equal to 200 . If

y_{i}=i\left(x_{i}-i\right), 1 \leq i \leq 100

, then the mean of

y_{1}, y_{2}, \ldots, y_{100}

is :

A
10051.50
B
10049.50
C
10100
D
10101.50

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