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