NumericalModerate2 marks
8(ii)
The fourth term of a Geometric Progression (G.P.) is 16 and its seventh term is 128. Find its:
common ratio
Topic: Geometric progression
Previous-year question practice database
Answer
Exam answer
For a G.P.: Tₙ = arⁿ⁻¹.
Given:
T₄ = ar³ = 16 T₇ = ar⁶ = 128.
Divide: r³ = 128/16 = 8 r = 2.
Answer: Common ratio = 2.
Explanation
Divide the two term equations so the first term a cancels.
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