Question:
The largest coefficient in (1 + x)30 is ___________.
Solution:
for $(1+x)^{30}$
$T_{r+1}={ }^{n} C_{r}(1)^{30-r} x^{r}$
Since $n=30 \quad$ i.e. $\quad$ even
The largest coefficient is fo $r r=\frac{n}{2}=15$
i.e for middle term
which is 30C15.
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