Question

Two convergent sub sequences of the sequence (-1)3n+2​

Answer 1

Answer:

3n+2=2(n+1)+n

So, (-1)^(3n+2)=

(-1)^(2(n+1)+n)=

((-1)^2(n+1) ) *((-1)^n) =

1*(-1)^n

So, two convergent subsequence will be {1,1,1…}

and {-1,-1,-1,…}

Answer 2

Answer:

3n+2=2(n+1)+n

So, (-1)^(3n+2)=

(-1)^(2(n+1)+n)=

((-1)^2(n+1) ) *((-1)^n) =

1*(-1)^n

So, two convergent subsequence will be {1,1,1…}

and {-1,-1,-1,…}

Step-by-step explanation:

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