If n - N- then find the value of in - in -1- in -2- in -3-

In+in+1+in+2+in+3=in+in.i+in.i2+in.i3=in+in.i+in.( 1)+in.( i)=in+in.i in in.i=0 Thus, nbsp;the value of nbsp;in+in+1+in+2+in+3 is 0. ...

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Addition of Negative Numbers

If n ∈ N, the...

Question

If n ∈ $ℕ$ , then find the value of $i^{n} + i^{n + 1} + i^{n + 2} + i^{n + 3}$ .

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Solution

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S_{1} = T_{1} + T_{2} + T_{3} + . . . + T_{n}

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