Question

Find the values of the following expressions
(i) ¡^19 + i^29 + ¡^39 + ... ¡^69
please answer it guys urgent
please give correct answer​

Answer 1

Step-by-step explanation:

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$for \: any \: natural \: number \\ n \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {i}^{n} = {i}^{4q + r} = {i}^{4q} + {i}^{r} \\ where \: q \: and \: are \: quotient \: and \: \\ remainder \: when \: n \: is \: divided \: by \: 4 \\ so \: \: \: \: \: \: {i}^{n} = {i}^{r}$