1
IIT-JEE 1994
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+2
-0
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 ................
2
IIT-JEE 1983
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+2
-0
If $${\left( {1 + ax} \right)^n} = 1 + 8x + 24{x^2} + .....$$ then $$a=..........$$ and $$n =............$$
3
IIT-JEE 1982
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+2
-0
The larger of $${99^{50}} + {100^{50}}$$ and $${101^{50}}$$ is ..............
4
IIT-JEE 1982
Fill in the Blanks
+2
-0
The sum of the coefficients of the plynomial $${\left( {1 + x - 3{x^2}} \right)^{2163}}$$ is ...............
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