What is a common ratio of the geometric sequence whose first term

is 5 and third term is 245?

(1) 7 (3) 120

(2) 49 (4) 240

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