n 3 If an 2 3 3 3 3 + and 4 4 4 bn an, then find the minimum natural number n, such that bn > an ( 6) (1) ---( – 1)n-1 4 - 1

If a_n=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and b_n=1-a_n , then find the minimum natural number n, such that b_n>a_n

If a_n=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and b_n=1-a_n , then find the minimum natural number n, such that b_n>a_n

If a_n=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and b_n=1-a_n , then find the minimum natural number n, such that b_n>a_n

If quad a_(n)=(3)/(4)-((3)/(4))^(2)+((3)/(4))^(3)+...(-1)^(n-1)((3)/(4)) and b_(n)=1-a_(n), then find the minimum natural number n,such that b_(n)>a_(n)

1+5+9+...+(4n-3)=n(2n-1) for all natural numbers n

If n is a natural number, then (4^(n) -3n -1) is always divisible by-

Let A_n=(3/4)-(3/4)^2+(3/4)^3+….+(-1)^(n-1)(3/4)^n and B_n = 1-A_n . find the least odd natural numbers n_0 , so that B_ngtA_n A for all ngen_0

Let A_n=(3/4)-(3/4)^2+(3/4)^3+….+(-1)^(n-1)(3/4)^n and B_n = 1-A_n. find the least odd nastural numebr s n_0, so that B_ngtA_n Aangen_0

prove that 4^(n)-1 is divisible by 3, for each natural number n.

prove that 4^(n)-1 is divisible by 3, for each natural number n.