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Sequences and Series question

2024 · 9 Apr · Shift 1 · Q37

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JEE Main
Mathematics
Sequences and Series
2024 · 9 Apr · Shift 1 · Q37

Sequences and Series question

2024 · 9 Apr · Shift 1 · Q37

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

If the sum of the series

\frac{1}{1 \cdot(1+\mathrm{d})}+\frac{1}{(1+\mathrm{d})(1+2 \mathrm{~d})}+\ldots+\frac{1}{(1+9 \mathrm{~d})(1+10 \mathrm{~d})}

is equal to 5, then

50 \mathrm{~d}

is equal to :

A
5
B
10
C
15
D
20

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