Let a, ar, ar², … be an infinite G.P. If Σ_(n=0)^∞ arⁿ = 57 and Σ… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 6 April, Shift 2Geometric Progression (GP)

Let $a, ar, ar^2, \ldots$ be an infinite G.P. If $\sum_{n=0}^{\infty} ar^n = 57$ and $\sum_{n=0}^{\infty} a^3r^{3n} = 9747$ , then $a + 18r$ is equal to:

A
$27$
B
$46$
C
$38$
D
$31$

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