Chapter 5.5, Problem 25ES

(a)

To determine

To explain:The given relation $F_{k+1}=F_k+F_{k-1}\text{ for all integers }k\ge 1.$

(b)

To determine

To write: The equation expressing $F_{k+2}$ in term of $F_{k+1}$ and $F_k$

(c)

To determine

To write: The equation expressing $F_{k+3}$ in term of $F_{k+1}$ and $F_{k+2}$