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Question

The third term of a Geometric Progression (G.P.) is 18 and its fourth term is 54. Find the first term

Verified Answer

2

Explanation & Step-by-Step Solving

Solving: Common ratio r=T4T3=5418=3r = \frac{T_4}{T_3} = \frac{54}{18} = 3. T3=a⋅r2=18  ⟹  a⋅(32)=18  ⟹  9a=18  ⟹  a=2T_3 = a \cdot r^2 = 18 \implies a \cdot (3^2) = 18 \implies 9a = 18 \implies a = 2.

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