To find the 8th term in the sequence 2, 10, 50, 250, 1250, we can use the formula for the nth term of a geometric sequence:
a_n = a_1 * r^(n-1)
where a_1 is the first term, r is the common ratio, and n is the term number.
In this case, we have:
a_1 = 2
r = 5
So the 8th term is:
a_8 = 2 * 5^(8-1)
a_8 = 2 * 5^7
a_8 = 78125
Therefore, the 8th term in the sequence is 78125.