There are numbers a_1, a_2, a_3, , a_n each of them being +1 or -1. If it is known that a_1 a_2 + a_2 a_3 + a_3 a_4 + a_n-1 a_n + a_n a_1 = 0 then Option 1: n is a multiple of 2 but not a multiple of 4 Option 2: n is a multiple of 3 Option 3: n can be any multiple of 4 Option 4: The only possible value of n is 4

The answer is 'n can be any multiple of 4'. View full solution:

IPMAT Indore - There are numbers a_1, a_2, a_3, , a_n each of them being +1 or -1. If it is known that a_1 a_2 + a_2 a_3 + a_3 a_4 + a_n-1 a_n + a_n a_1 = 0 then | PYQs + Solutions

IPMAT Indore

Algebra

Medium

$n$ is a multiple of 2 but not a multiple of 4

$n$ is a multiple of 3

$n$ can be any multiple of 4

The only possible value of $n$ is 4

✅ Correct Option: 3