Which two terms of -- 1, 2, 15, 44, 95, .... add to 1112350 ?

Question

Give the formula for its nth term also and show the addition of those two terms.

difference between the serial numbers of those two terms is 50 that is if the terms are mth and nth then n -- m = 50.

Answer 1

From,
n^3 = 1, 8, 27, 64, 125,...
n^2 = 1, 4, 9, 16, 25,...
n = 1, 2, 3, 4, 5, ...
n^3 -- (n^2 + n) series is
(1 -- 1 -- 1), (8 -- 4 -- 2), (27 -- 9 -- 3), (64 -- 16 -- 4), (125 -- 25 -- 5), ......
Or --1, 2, 15, 44, 95, .............

and its 50th term = 50^3--(50^2+50) = 122450

100th term = 100^3--(100^2+ 100) = 989900

then its( 50th term + 100th term)
= 122450 + 989900
= 1112350. ANS.

Answer 2

I'm not understanding or guessing what the rule is for that sequence.

I wouldn't be surprised if there were a 2^n somewhere in the formula, however ...