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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.

 Feb 20, 2024
 #1
avatar+410 
+1

a11=a10+a9, so following this logic.

4=1+a9

a9=3

Similarly,

1=3+a8

a8=2

3=2+a7

a7=5

2=5+a6

a6=7.

a6 is -7.

 Feb 21, 2024

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