(b). ( forall n in mathbbZ^+, an=n^2 ), if ( a1=1, a2=4, a3=9 ), and ( ak=ak-1-ak-2+ak-3+2(2 k-3

Name: (b). ( forall n in mathbbZ^+, an=n^2 ), if ( a1=1, a2=4, a3=9 ), and ( ak=ak-1-ak-2+ak-3+2(2 k-3) ) for integers ( k geq 4 ).
Uploaded: 2024-05-18T04:33:47-08:00
Duration: 3 min
Channel: Manisha Sarker
Description: (b). ( forall n in mathbbZ^+, an=n^2 ), if ( a1=1, a2=4, a3=9 ), and ( ak=ak-1-ak-2+ak-3+2(2 k-3) ) for integers ( k geq 4 ).

Question

Steven Clarke · Accepted Answer

First, we can see that the given sequence (a_{n}=n^{2}) is a sequence of squares of positive i

Question

(b). ( forall n in mathbb{Z}^{+}, a_{n}=n^{2} ), if ( a_{1}=1, a_{2}=4, a_{3}=9 ), and ( a_{k}=a_{k-1}-a_{k-2}+a_{k-3}+2(2 k-3) ) for integers ( k geq 4 ).

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