Question

Find the nth term of a sequence whose first several terms are given.
6, 8, 6, 8, 6, 8, . . .

Answer 1

an = ( - 1 ) ^ n + 7


For odd numbers 1 , 3 , 5 ...

( - 1 ) ^ n = - 1

and

( - 1 ) ^ n + 7 = - 1 + 7 = 6


For even numbers 2 , 4 , 6 ...

( - 1 ) ^ n = 1

and

( - 1 ) ^ n + 7 = 1 + 7 = 8