Answer:
1•2n
Step-by-step explanation:
Given the sequence if numbers
1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...
You will see that 1 is common to all the numbers, the other part of the sequence are in arithmetic progression and they are
2,4,6,8,10...
The nth term of an AP is expressed as
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
a = 2
d = 4-2 = 6-4 = 8-6 = 2
Substitute into the formula
Tn = 2+(n-1)2
Tn = 2+2n-2
Tn = 2-2+2n
Tn = 2n
Hence the nth term of the sequence is 1•2n
