Is 0.2222222 rational

If you mean that the sequence of 2s continues indefinitely, then of course it’s rational. It’s exactly equal to 2/9, a ratio of two integers.

It’s not possible for a number to be both rational and irrational, or for a real number to be neither rational nor irrational.

Step-by-step explanation:

square root

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2