Home
Class 11
MATHS
Let a=(2^(1//401)-1) and for each ngeq2,...

Let `a=(2^(1//401)-1)` and for each `ngeq2,l e tb_n=^n C_1+^n C_2dota+^n C_3a^2++^n C_ndot^dota^(n-1)` . Find the value of `(b_(2006)-b_(2005))dot`

Text Solution

Verified by Experts

The correct Answer is:
`2^(10)`
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (J-M)|17 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (J-A)|5 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (S-1)|16 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|106 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Let a=(2^(1//401)-1) and for each ngeq2,l e tb_n=^n C_1+^n C_2dota+^n C_3a^2+......+^n C_n*a^(n-1) . Find the value of (b_(2006)-b_(2005))dot

Find the sum 3^n C_0-8^n C_1+13^n C_2xx^n C_3+dot

Find the sum C_0+3C_1+3^2C_2++3^n C_ndot

Prove that ^n C_0 .^n C_0-^(n+1)C_1 . ^n C_1+^(n+2)C_2 . ^n C_2-=(-1)^ndot

Prove that ^n C_1(^n C_2)(^n C_3)^3(^n C_n)^nlt=((2^n)/(n+1))^(n+1_C()_2),AAn in Ndot

Prove that .^n C_0 . ^(2n) C_n- ^n C_1 . ^(2n-2)C_n+^n C_2 . ^(2n-4)C_n-=2^ndot

If the ratio ^2n C_3:^n C_3 is equal to 11:1 find ndot

The value of ^n C_1+^(n+1)C_2+^(n+2)C_3++^(n+m-1)C_m is equal to

If the ratio \ \ ^(2n)C_3 : \ \ ^n C_3 is equal to 11:1 find ndot

The value of |1 1 1^n C_1^(n+2)C_1^(n+4)C_1^n C_2^(n+2)C_2^(n+4)C_2| is