Question

a number sequence has 100 elements. any of its elements is equal to product of its neighbours

Answer 1

Let the series be a1, a2, a3......... a100.

a2 = a1*a3 ; a3 = a2*a4, a1*a4 = 1.

So, a2*a5 = a3*a6 = a4*a7....... = 1.

So if you solve this further, you will get to know the answer and also learn the concept of arithmetic progression.

These axioms are used again to help us work faster and better in calculations.