Q. Determine the solution for the recurrence relation bₙ=8bₙ₋₁−12bₙ₋₂ with b₀=3 and b₁=4.

View solution

Q. The solution to the recurrence relation aₙ=aₙ₋₁+2n, with initial term a₀=2 are _________

View solution

Q. Find the value of a₄ for the recurrence relation aₙ=2aₙ₋₁+3, with a₀=6.

View solution

Q. If Sₙ=4Sₙ₋₁+12n, where S₀=6 and S₁=7, find the solution for the recurrence relation.

View solution

Q. What is the recurrence relation for 1, 7, 31, 127, 499?

View solution

Q. Determine the solution of the recurrence relation Fₙ=20Fₙ₋₁ − 25Fₙ₋₂ where F₀=4 and F₁=14.

View solution

Q. Consider the recurrence relation a₁=4, aₙ=5n+aₙ₋₁. The value of a₆₄ is _________

View solution

Q. The independent term of x is 80000 in the expansion of (3x+b/x)⁶, where b is a positive constant. What the value of b?

View solution

Q. Determine the coefficient of the x⁵y⁷ term in the polynomial expansion of (m+n)¹².

View solution

Q. Find the coefficient of x⁸ in the expansion of (x+2)¹¹.

View solution

Q. In a game, a fair coin is tossed 6 times. Each time the coin comes up tails, A will pay Rs. 15 but if each time heads come up, A will pay nothing. Determine the probability that A will win Rs. 45 by playing the game?

View solution

Q. Determine the independent term of x⁷ in the expansion of (3x² + 4)¹².

View solution

Q. What is the coefficient of x⁹ in the expansion of (x+5)¹⁴?

View solution

Q. How many 4-digit numbers can be formed by using 2, 4, 6, 8, 10, 12 without repetition of digits?

View solution

Q. In how many ways can you select 9 cupcakes from a box containing 17 cupcakes?

View solution

Q. Calculate the value of ⁸C₅.

View solution

Q. What is the middle term in the expansion of (x/2 + 6y)⁸?

View solution

Q. Determine the 7th term in the expansion of (x-2y)¹².

View solution

Q. Find the coefficient of x⁷ in (x+4)⁹.

View solution

Q. Evaluate the expression (y+1)⁴ – (y-1)⁴.

View solution