What are the next two numbers in this sequence:
0, 6, 23, 56, 109, 184, 279, 384, 473, 488, ___, ___, . . .
(In reply to
Puzzle Answer by K Sengupta)
The given sequence S(n)(say) is defined by:
S(n) =C(n) - T(n)
where: C(n) = n^3, and: T(n) = 2^(n-1)
Then:
S(1) = 1-1=0
S(2) = 8-2=6
S(3) = 27-4=23
S(4)= 64-8=56
S(5)= 125-16=109
S(6) = 216 - 32= 184
S(7) = 343-64 = 279
S(8) = 512-128= 384
S(9) = 729-256 = 473
S(10)= 1000-512=488
S(11)= 1331-1024= 307
S(12) = 1728 - 2048 = -320
Consequently, the required next two (missing) number in the sequence is 307 and -320.
Edited on February 24, 2022, 2:00 am
Explanation for the Puzzle Answer
