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Get access to the detailed solutions to the previous years questions asked in IIM IPMAT exam
Let the value of n = 2. Then a1 a2 + a2 a1 = 0
No value of a1, a2 will satisfy the above equation.
Hence, option (a) is eliminated. A similar pattern option (b) can also be ruled out to create a zero; we need equal occurrences of 1 and -1, and the total number of terms when n = 3 will be 3. Hence obtaining 0 is not possible.
When n = 4, we can easily obtain 0 when the numbers are 1, -1, 1, -1
Similarly, check for n = 8
Hence, the option (c)