Question

A sequence is defined by the recurrence relation u(n+1) = -3u(n) + 7
with u(O) = 2. What is the value of u(2)?​

Answer 1

Given   :  A sequence is defined by the recurrence relation u(n+1) = -3u(n) + 7  with u(0) = 2

To Find :  the value of u(2)

Solution:

u(n+1) = -3u(n) + 7

n = 0

=> u ( 0 + 1) = - 3u (0) + 7

u (0) = 2

=> u (1) = - 3(2)  + 7

=> u(1) =  1

n = 1

=> u ( 1 + 1) = - 3u (1) + 7

u (1) = 1

=> u (2) = - 3(1)  + 7

=> u(2) = 4

value of u(2)   = 4

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