Consider a series of 10 integers that starts with 3, 6, 12, 24, 48 ... What range does the reciprocal of the 10th term fall into, denoted as x?

Answer Choices

Correct answer marked below

0.000001 < x < 0.00001

0.00001 < x < 0.0001

0.0001 < x < 0.001

Correct

0.001 < x < 0.01

0.01 < x < 0.1

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Explanation

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Official Explanation

Official

The sequence is a geometric progression where each term is double the previous one. The 10th term can be calculated as follows: the first term is 3, and the common ratio is 2. Thus, the 10th term is given by [m]3 imes 2^{9} = 3…

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Comments

NataliaMar 28, 2025

Great!

kimayaAug 3, 2024

this helped me

joaquinMay 11, 2024

Amazing

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.