The second term in a geometric sequence is 50 . the fourth term in the same sequence is 112.5 . what is the common ratio in this sequence ?

Geometric an = ar^(n - 1)

Second term =ar² ⁻ ¹ = ar = 50

Fourth term =ar⁴ ⁻ ¹ =  ar³ = 112.5

ar = 50 (a)

ar³ = 112.5(b)

Equation (b)/(a)

ar³ / ar = 112.5/50

r² = 2.25

r = √2.25

r = 1.5

Common ratio = 1.5

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