Answer:
Tn = 2 * ±5^(n-1)
where Tn is the nth term of the geometric sequence.
Step-by-step explanation:
The geometric sequence is one in which there are changes between consecutive terms as a result of a common ratio.
A geometric sequence with a common ratio r and a as it's first term has an nth term defined as
Tn = ar^n-1 as such, if a1 = 2 a3 = 50 then
T3 = ar^3-1
50 = 2 * r²
r² = 25
r = ±5
The rule for the nth term may be written as
Tn = 2 * ±5^(n-1)
