1.

Find the value of following expression: i5 + i10 + i15

Answer»

i5 + i10 + i15 = i (4 + 1) + i (8 + 2) + i (12 + 3) 

= (i4)1×i + (i4)2×i2 + (i4)3×i3 

= (i4)1×i + (i4)2×i2 + (i4)3×i2×i 

= 1×i + 1×(– 1) + 1×(– 1)×i 

= i – 1 – i = – 1



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