Question

For Meera's salary pattern \( 10, 20, 40, 80, \ldots \), what is the common ratio shown by consecutive terms?

Options

• \( 10 \)

• \( 2 \)

• \( 100 \)

• \( 4 \)

Answer 1

Each term is double the preceding term: \( \frac{t_{2}}{t_{1}} = \frac{20}{10} = 2 \), \( \frac{t_{3}}{t_{2}} = \frac{40}{20} = 2 \), \( \frac{t_{4}}{t_{3}} = \frac{80}{40} = 2 \). Hence the common ratio is \( 2 \), and the pattern is a G.P., not an A.P.