THETA DIVISION

Question 82

Sequences★★★Question Bank

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Question

Define a sequence such that

a_1=1

and

a_{n+1}=1+ia_n

for all

n\ge1

and

i=\sqrt{-1}

. Compute

a_{1066}

. (By the way, the year 1066 is when the Battle of Hastings was fought in England.)

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