Question

$\tt For\:positive\:integer\:{n}_{1},{n}_{2} \:the\:value\:of\:expression \\ \\ \tt {(1+i)}^{{n}_{1}} + {(1+{i}^{3})}^{{n}_{1}} + {(1+{i}^{5})}^{{n}_{2}} + {(1+{i}^{7})}^{{n}_{2}} \\ \\ \tt Where\:i = \sqrt{-1} \:is\:a\:real\:number\:if\:and\:only\:if \\ \\ \tt a. {n}_{1} = {n}_{2} + 1 \\ \tt b. {n}_{1} = {n}_{2} - 1 \\ \tt {n}_{1} = {n}_{2} \\ \tt {n}_{1}>0 , {n}_{2}>0$ ​

Answer 1

Answer:

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Answer 2

Answer:

$\tt For\:positive\:integer\:{n}_{1},{n}_{2} \:the\:value\:of\:expression \\ \\ \tt {(1+i)}^{{n}_{1}} + {(1+{i}^{3})}^{{n}_{1}} + {(1+{i}^{5})}^{{n}_{2}} + {(1+{i}^{7})}^{{n}_{2}} \\ \\ \tt Where\:i = \sqrt{-1} \:is\:a\:real\:number\:if\:and\:only\:if \\ \\ \tt a. {n}_{1} = {n}_{2} + 1 \\ \tt b. {n}_{1} = {n}_{2} - 1 \\ \tt {n}_{1} = {n}_{2} \\ \tt {n}_{1}>0 , {n}_{2}>0$

Step-by-step explanation:

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