Let $$n$$ be positive integer. If the coefficients of 2nd, 3rd, and 4th terms in the expansion of $${\left( {1 + x} \right)^n}$$ are in A.P., then the value of $$n$$ is ................
Answer
7
2
IIT-JEE 1983
Fill in the Blanks
If $${\left( {1 + ax} \right)^n} = 1 + 8x + 24{x^2} + .....$$ then $$a=..........$$ and $$n =............$$
Answer
$$a = 2,\,n = 4$$
3
IIT-JEE 1982
Fill in the Blanks
The sum of the coefficients of the plynomial $${\left( {1 + x - 3{x^2}} \right)^{2163}}$$ is ...............
Answer
$$ - 1$$
4
IIT-JEE 1982
Fill in the Blanks
The larger of $${99^{50}} + {100^{50}}$$ and $${101^{50}}$$ is ..............
Answer
$${\left( {101} \right)^{50}}$$
Questions Asked from Mathematical Induction and Binomial Theorem
On those following papers in Fill in the Blanks
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