The sequence 4, 8, 16, 32, ... is a G.P.

True

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False

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Solution

The correct option is A
True

Given the sequence is 4, 8, 16, 32, ....
Let $t_{1} = 4, t_{2} = 8, t_{3} = 16$ and so on.
Then, $\frac{t_{2}}{t_{1}} = \frac{8}{4} = 2, \frac{t_{3}}{t_{2}} = \frac{16}{8} = 2, \frac{t_{4}}{t_{3}} = \frac{32}{16} = 2.$

Since the ratio of any two consecutive terms of the sequence is a constant, the given sequence is a G.P.

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