Answer:
2n
Step-by-step explanation:
Given the sequence 2,4,6,8,10...
The sequence given is an arithmetic sequence
The nth term of an arithmetic sequence is given as:
Tn = a+(n-1)d where;
a is the first term if the sequence
n is the number of terms
d is the common difference
From the sequence above:
a = 2, d = 4-2 = 6-4 = 8-6 = 2
d = 2
Substituting the given values in the formula we have:
Tn = 2+(n-1)2
Tn = 2+2n-2
Tn = 2n+2-2
Tn = 2n
The recursive formula is Tn = 2n
