Find the next number of the series 6, 9, 18, 45, ?
Last updated Jun 13, 2026
Correct Answer:
Option A —
135
To find the next number, let's look at how each number grows to become the next one in the sequence:To get from six to nine, we multiply six by one and a half.
To get from nine to eighteen, we multiply nine by two.
To get from eighteen to forty-five, we multiply eighteen by two and a half.
Notice how the multiplier increases by a half each step of the way: first one and a half, then two, and then two and a half. Following this exact pattern, the next multiplier must be three.
To find the final number, we multiply forty-five by three, which gives us one hundred and thirty-five.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
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