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Sequences and Series question

2024 · 9 Apr · Shift 2 · Q48

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JEE Main
Mathematics
Sequences and Series
2024 · 9 Apr · Shift 2 · Q48

Sequences and Series question

2024 · 9 Apr · Shift 2 · Q48

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

Let

a, a r, a r^2

, ............ be an infinite G.P. If

\sum_{n=0}^{\infty} a r^n=57

and

\sum_{n=0}^{\infty} a^3 r^{3 n}=9747

, then

a+18 r

is equal to

A
27
B
38
C
31
D
46

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