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Find the missing number in the sequence.

2   9   28   65   ?   217

Source: This question is taken from YTU YOS 2018 exam. I have mentioned them in other posts.

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It's simply just

$n^3 + 1$

So

$1^3 + 1 = 1 + 1 = 2$
$2^3 + 1 = 8 + 1 = 9$
$3^3 + 1 = 27 + 1 = 28$
$4^3 + 1 = 64 + 1 = 65$
$5^3 + 1 = 125 + 1 = 126$
$6^3 + 1 = 216 + 1 = 217$

Therefore the missing number is

$126$

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    $\begingroup$ Gz mate nice one $\endgroup$ Jul 27 '20 at 12:51
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The answer is 126 because of the pattern 1cubed +1, 2cubed+1, 3 cubed +1,4cubed +1, 5cubed+1,6cubed+1

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    $\begingroup$ By the way I did not copy this answer $\endgroup$ Jul 27 '20 at 12:47
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    $\begingroup$ There was no answer as I was typing it $\endgroup$ Jul 27 '20 at 12:47
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    $\begingroup$ Don't worry, people will be able to see that you didnt from the timestamp, as you can see we both answered at almost the same time $\endgroup$ Jul 27 '20 at 12:52
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    $\begingroup$ Yesterday I answered the question 3 minutes before another guy and he still got the credit😂 I don't have good luck here $\endgroup$ Jul 27 '20 at 12:54
  • $\begingroup$ Sometimes a later answer will be accepted if the OP thinks that it's more correct or explains it better, it's not always first to get it is accepted :) $\endgroup$ Jul 27 '20 at 12:55

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