Answer:
The sequence 7, 14, 28, ... is a geometric sequence with first term 7 and common ratio 2. The explicit formula for a geometric sequence is a_n = a_1 r^(n-1), where a_n is the nth term, a_1 is the first term, and r is the common ratio. In this case, a_n = 7 (2)^(n-1).
Here are the first few terms of the sequence:
n = 1: a_1 = 7
n = 2: a_2 = 14
n = 3: a_3 = 28
n = 4: a_4 = 56
n = 5: a_5 = 112
As you can see, the formula works for all values of n.
Explanation: