Question 826918

use formula

{{{a[n] = n^3+n^2}}} starting with {{{n=1}}}


if {{{n=1}}}

{{{a[n] = n^3+n^2}}}

{{{a[1] = 1^3+1^2}}}

{{{a[1] = 2}}}


if {{{n=2}}}

{{{a[n] = n^3+n^2}}}

{{{a[2] = 2^3+2^2}}}

{{{a[2] = 8+4}}}

{{{a[2] = 12}}}

if {{{n=3}}}

{{{a[n] = n^3+n^2}}}

{{{a[3] = 3^3+3^2}}}

{{{a[3] = 27+9}}}

{{{a[3] = 36}}}

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so, next term in this sequence will be

if {{{n=6}}}

{{{a[n] = n^3+n^2}}}

{{{a[6] = 6^3+6^2}}}

{{{a[6] = 216+36}}}

{{{a[6] = 252}}}