If (-1)n + (-1)4n = 0, then n is
A. Any positive integer
B. Any negative integer
C. Any odd natural number
D. Any even natural number
Answer: Option C
Solution (By Examveda Team)
Putting n = 1, 2, 3, 4, 5 . . . .n = 1 in the given equation
(-1)1 + (-1)4 × 1 = 0
Or, -1 + 1 = 0
n = 2
(-1)2 + (-1)4 × 2 = 0
Or, 1 + 1 ≠ 0
n = 3,
-1 + 1 = 0
We will see that the given condition will be satisfy only for ANY ODD NATURAL NUMBER.
This Question Belongs to Arithmetic Ability >> Number System
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