express in A+iB : [1+2i / 1+i ] n for n=+ _ 1, + _ 2,+ _ 3,+ _ 4,.... the answer is: 3/2 +i/2 ,3/5 – i/5 , 2+3i/2 , 8/25 – 6i /25, 9/4 +13i/4, 18/125 – 26i/125, 7/4+ 6i , 28/625 – 9i/625

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Vikas TU · Answer

Rationalize it first: [1+2i / 1+i ] n => (1+2i)*(1-i)/(1-i^2) => [(i +3)/2]^n Put n=+ _ 1, + _ 2,+ _ 3,+ _ 4,.... and get, 3/2 +i/2 ,3/5 – i/5 , 2+3i/2 , 8/25 – 6i /25, 9/4 +13i/4, 18/125 – 26i/125, 7/4+ 6i , 28/625 – 9i/625

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express in A+iB : [1+2i / 1+i ] n for n=+ _ 1, + _ 2,+ _ 3,+ _ 4,.... the answer is: 3/2 +i/2 ,3/5 – i/5 , 2+3i/2 , 8/25 – 6i /25, 9/4 +13i/4, 18/125 – 26i/125, 7/4+ 6i , 28/625 – 9i/625

express in A+iB :
[1+2i / 1+i ]ⁿ for n=+_{_}1, +_{_}2,+_{_}3,+_{_}4,....

the answer is:
3/2 +i/2 ,3/5 – i/5 , 2+3i/2 , 8/25 – 6i /25, 9/4 +13i/4, 18/125 – 26i/125, 7/4+ 6i , 28/625 – 9i/625

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express in A+iB : [1+2i / 1+i ] n for n=+ _ 1, + _ 2,+ _ 3,+ _ 4,.... the answer is: 3/2 +i/2 ,3/5 – i/5 , 2+3i/2 , 8/25 – 6i /25, 9/4 +13i/4, 18/125 – 26i/125, 7/4+ 6i , 28/625 – 9i/625

express in A+iB : [1+2i / 1+i ]n for n=+_1, +_2,+_3,+_4,.... the answer is:3/2 +i/2 ,3/5 – i/5 , 2+3i/2 , 8/25 – 6i /25, 9/4 +13i/4, 18/125 – 26i/125, 7/4+ 6i , 28/625 – 9i/625

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express in A+iB :
[1+2i / 1+i ]ⁿ for n=+_{_}1, +_{_}2,+_{_}3,+_{_}4,....

the answer is:
3/2 +i/2 ,3/5 – i/5 , 2+3i/2 , 8/25 – 6i /25, 9/4 +13i/4, 18/125 – 26i/125, 7/4+ 6i , 28/625 – 9i/625