Find the next number in the series

Level 2

1, 18, 46, 94, __, 52, 61, ....


The answer is 63.

Parmeet Singh by Parmeet Singh , 23, India

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2 solutions

1 , 18 , 46 , 94 , __ , 52 , 61 , . . . . 100 → , 81 → , 64 → , 49 → , __ , 25 → , 16 → , . . . . 1 0 2 → , 9 2 → , 8 2 → , 7 2 → , 6 2 → , 5 2 → , 4 2 → , . . . . ⟹ 1 , 18 , 46 , 94 , 63 , 52 , 61 , . . . . \begin{array} {rrrrrrrr} 1, & 18, & 46, & 94, & \text{\_\_}, & 52, & 61, & .... \\ \overrightarrow {100}, & \overrightarrow {81}, & \overrightarrow {64}, & \overrightarrow {49}, & {\text{\_\_}}, & \overrightarrow {25}, & \overrightarrow {16}, & .... \\ \overrightarrow {10^2}, & \overrightarrow {9^2}, & \overrightarrow {8^2}, & \overrightarrow {7^2}, & \color{#3D99F6} \overrightarrow {6^2}, & \overrightarrow {5^2}, & \overrightarrow {4^2}, & .... \\ \implies 1, & 18, & 46, & 94, & \color{#3D99F6}\boxed{63}, & 52, & 61, & .... \end{array}

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Parmeet Singh
Feb 7, 2017

Just think out of the box. Read the number from right to left (also the digits) all are squares of natural numbers....

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I think the 1 at the beginning should be taken out of the problem because it throws people off; as the rest are in order and the 1 isn't.

Siva Budaraju - 4 years, 4 months ago

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