Answer: the common ratio of the geometric sequence is 7
Step-by-step explanation:
In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 5
For the third term,
n = 3
Therefore,
245 = 5 × r^(3 - 1)
245/5 = r^²
49 = r²
Taking square root of both sides of the equation, it becomes
r = 7
