Question

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Find the next number of the given series:

◆ 26, 63, 124, 215, 342, ____ ◆

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Answer 1

Answer : 511

Step by step explanation :

The given series is :

26, 63, 124, 215, 342, ?

There's a common thing out there, in this series.

Every number follows the formula, to get the next number :

[ n^3 - 1 ]

Let's see how :

• Let n = 3,

3^3 - 1 = 27 - 1 = 26

• Let n = 4

4^3 - 1 = 64 - 1 = 63

• Let n = 5

5^3 - 1 = 125 - 1 = 124

• Let n = 6

6^3 - 1 = 216 - 1 = 215

Just like this, similarly,

• Let n = 8

8^3 - 1 = 512 - 1 = 511

Thus, we get the answer as 511.

Thus, The next number of the series is 511.

» 26, 63, 124, 215, 342, 511