JEE PYQ

[JEE Main 2003] for x 0 the first negative term in the expansion of 1 x 27

VAVidaara Admin Asked 2d ago 0 views 1 answer
#PYQJEE#JEE#JEE Main#2003#general-term#Binomial Theorem

For $x>0$, the first negative term in the expansion of $(1+x)^{27/5}$ is the

(a) 6th term
(b) 7th term
(c) 5th term
(d) 8th term

1 Answer

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

Correct answer: (d) 8th term

The coefficient first turns negative when $k>\frac{27}5+1=6.4$, i.e. at $k=7$ — the 8th term.

JEE Main 2003 · Binomial Theorem — verified solution by the Vidaara Team.

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