Answer: Option 2 is correct
Explanation:
From the information given,
first term, a1 = 2
second term, a2 = - 10
third term, a3 = 50
common ratio, r is the ratio of consecutive terms. Thus
r = - 10/2 = 50/- 10 = - 5
This is a geometric sequence. The general form of a geometric sequence is
an = a1 x r^(n - 1)
By substituting the values, it becomes
an = 2(- 5)^(n - 1)
Looking at the options, the only option that matches this formula is second one. Thus,
Option 2 is correct