Mathematics
GinaMclee
19

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 ?

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(1) Answers
iza90290

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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