A sequence `b_(0),b_(1),b_(2), . . .` is defined by letting `b_(0)=5` and `b_(k)=4+b_(k-1)`, for all natural number k. Show that `b_(n)=5+4n`, for all natural number n using mathematical induction.

Use the principle of mathematical induction : A sequence b_0,b_1,b_2 ,….. Is defined by letting b_0 = 5 and b_k = 4+b_(k-1) , for all natural numbers k. show that b_n = 5 + 4n , for all natural number n using mathematical induction.

A sequence d_(1),d_(2),d_(3) . . . is defined by letting d_(1)=2 and d_(k)=(d_(k-1))/(k), for all natural numbers, k≥2 . Show that d_(n)=(2)/(n!) , for all n in N .

A sequence d_(1),d_(2),d_(3) . . . is defined by letting d_(1)=2 and d_(k)=(d_(k-1))/(k), for all natural numbers, k≥2 . Show that d_(n)=(2)/(n!) , for all n in N .

A sequence x_(1),x_(2),x_(3),.... is defined by letting x_(1)=2 and x_(k)=(x_(k-1))/(k) for all natural numbers k,k>=2 Show that x_(n)=(2)/(n!) for all n in N.

A sequence x_0, x_1,x_2,x_3, ddot is defined by letting x_0=5 and x_k=4+x_(k-1) for all natural number kdot Show that x_n=5+4n for all ""n in N using mathematical induction..

A sequence x_1, x_2, x_3,.... is defined by letting x_1=2 and x_k=x_(k-1)/k for all natural numbers k,k>=2 Show that x_n=2/(n!) for all n in N .

Use the principle of mathematical induction : A sequence a_1, a_2, a_3,…… is defined by letting a_1 = 3 and a_k = 7a_(k-1) , for all natural numbers k > 2 . Show that a_n = 3.7^(n-1) , for all natural numbers .

Use the principle of mathematical induction : A sequence d_1,d_2,d_3,……… is defined by letting d_1= 2 and d_k = (d_k - 1)/(k) , for all natural numbers, k gt= 2 . Show that d_n = (2)/(n!) , for all n in N

Find the smallest natural number k such that k(3^(3)+4^(3)+5^(3))=a^(b) for some natural numbers a and b

" Find the smallest natural number "k" such that "k(3^(3)+4^(3)+5^(3))=a^(b)" for some natural numbers a and "b