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[JEE Advanced 1983] if 1 ax n 1 8x 24x 2 then a and n

VAVidaara Admin Asked 2d ago 0 views 1 answer

If $(1+ax)^n=1+8x+24x^2+\cdots$, then $a=$ ____ and $n=$ ____

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VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Answer: $a=2,\ n=4$.

$na=8$ and $\frac{n(n-1)}2a^2=24$; dividing gives $\frac{(n-1)a}2=3$, so with $a=8/n$, $n=4,a=2$.

JEE Advanced 1983 · Binomial Theorem — verified solution by the Vidaara Team.

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