Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
- If the coefficients of four consecutive terms in the expansion of (1+x...
Text Solution
|
- The 3rd,4th and fifth terms in the expansion of (x+a)^n are 252, 1512,...
Text Solution
|
- The coefficient of three consecutive terms in the expansion of (1+x)^n...
Text Solution
|
- Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...
Text Solution
|
- Show that the integral part of the value of (9+4sqrt5)^n is odd for po...
Text Solution
|
- If the 3rd, 4th. 5th and sixth term in the expansion of (x+alpha)^n ar...
Text Solution
|
- If coefficient of x^2 and x^11 are 27 and -192 respectively of (1+ax+2...
Text Solution
|
- Find the coefficient of x^5 in the expansion of (1+x)^21+(1+x)^22+...+...
Text Solution
|
- Determine the x-independent term in the expansion of (1+4x)^p(1+1/(4x)...
Text Solution
|
- For ninN , 2^(3n)-1 is divisible by
Text Solution
|
- For ninN , n^3+2n is divisible by
Text Solution
|
- ForninN , 3^(2n-1)+2^(n+1) is always divisible by
Text Solution
|
- For ninN 2^(3n)-7n-1 is always divisible by
Text Solution
|
- The greatest positive integer divides (n+1)(n+2)..........(n+r) is
Text Solution
|
- Applying the principle of mathematical induction (P.M.I.) prove that 1...
Text Solution
|
- Using mathematical induction show 7+77+777+......+n terms =7/81(10^(n+...
Text Solution
|
- Applying P.M.I. prove that x^n-y^n is always divisible by x+y where n...
Text Solution
|
- Applying the principle mathematical induction (P.M.I.) show that 5^(2n...
Text Solution
|
- Applying P.M.I. prove that (1+x)^n gt 1+nx where n is a pos integer an...
Text Solution
|
- Prove that (costheta+isintheta)^n=cosntheta+isinntheta by P.M.I. where...
Text Solution
|