SOLUTION: A sequence Tn is defined by T1 = T2 = 1 and T(n+2) = T(n+1) + Tn
Tn = {{{(a^n - b^n)/ sqrt( 5 )}}}, where a,b (a>b) are the roots of {{{x^2 - x -1=0}}}.
Assume the ratio {{{T
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-> SOLUTION: A sequence Tn is defined by T1 = T2 = 1 and T(n+2) = T(n+1) + Tn
Tn = {{{(a^n - b^n)/ sqrt( 5 )}}}, where a,b (a>b) are the roots of {{{x^2 - x -1=0}}}.
Assume the ratio {{{T
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Question 1172425: A sequence Tn is defined by T1 = T2 = 1 and T(n+2) = T(n+1) + Tn
Tn = , where a,b (a>b) are the roots of .
Assume the ratio approaches a limit as n approaches infinity. Show that approaches Answer by ikleyn(52769) (Show Source):
