# Calculation puzzle 010

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.

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

$$126$$

• Gz mate nice one – Prince Deepthinker Jul 27 '20 at 12:51

The answer is 126 because of the pattern 1cubed +1, 2cubed+1, 3 cubed +1,4cubed +1, 5cubed+1,6cubed+1

• By the way I did not copy this answer – Prince Deepthinker Jul 27 '20 at 12:47
• There was no answer as I was typing it – Prince Deepthinker Jul 27 '20 at 12:47
• 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 – Beastly Gerbil Jul 27 '20 at 12:52
• Yesterday I answered the question 3 minutes before another guy and he still got the credit😂 I don't have good luck here – Prince Deepthinker Jul 27 '20 at 12:54
• 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 :) – Beastly Gerbil Jul 27 '20 at 12:55