Discrete Mathematics

Linear Recurrence Relations

Linear Recurrence Relations - Calculating Initial Terms

         

Let {xn} \{x_n\} be the sequence 1,5,9,13,. 1, 5, 9, 13, \ldots.

If {xn} \{x_n\} can be defined as the recurrence relation x7=a,xn+1=xn+b, x_7 = a, \quad x_{n+1} = x_n + b, find the value of a+b. a + b.

The sequence XX is defined by X1=2X_1 = 2 and Xn=Xn1+3X_n = X_{n-1} + 3 for n2.n \geq 2. What is the value of X10?X_{10}?

A sequence VV satisfies V1=5,V2=2V_1 = 5, V_2 = 2 and Vn=Vn1+Vn2V_n = V_{n-1} + V_{n-2} for n2.n \geq 2. What is the value of V6?V_6?

In the sequence an, a_{n}, if a1=1,a2=5a_{1} = 1, a_{2}= 5 and 2ak+1=ak+ak+2,2a_{k+1} = a_{k} + a_{k+2}, what is a10?a_{10}?

The sequence FF is defined by F1=1F_1 = 1 and Fn=2Fn1F_n = 2F_{n-1} for n2.n \geq 2. What is F6?F_6?

×

Problem Loading...

Note Loading...

Set Loading...