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avatar+1351 

Let a_1, a_2, a_3, \dots be a sequence. If
a_n = a_{n - 1} + a_{n - 2}
for all n \ge 3, and a_{11} = 4 and a_{10} = 1, then find a_6.

 Mar 21, 2024
 #1
avatar+394 
+1

\(a_n = a_{n - 1} + a_{n - 2}\)

\(a_{n-2}=a_n-a_{n-1}\)

\(a_9=4-1=3\)

\(a_8=1-3=-2\)

\(a_7=3-(-2)=5\)

\(a_6=-2-5=-7\).

.
 Mar 22, 2024

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