Question

7) If value of (-1)^n + (-1)^8n =0, then what will be n?
a) any +ve integer
b) any odd natural number
c) any even natural number
d) any negative integer.

explain​

Answer 1

Step-by-step explanation:

(-1)^n + (-1)^8n=0

(-1)^n + (1)^n=0

(-1)^n + 1 =0

(-1)^n = -1

therefore n belongs to odd natural no.

Answer 2

Option(b),  If the value of $(-1)^{n} + (-1)^{8n} = 0$ , then the value of n will n be  any odd natural number.

To find: The value of n.

Given: $(-1)^{n} + (-1)^{8n} = 0$

Solution: $(-1)^{n} + (-1)^{8n} = 0$

                $(-1)^{n} + (1)^{n} = 0$

                $(-1)^{n} + 1 = 0$

                 $(-1)^{n}$= -1

Hence the value of n will be any odd natural number.

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