Question 1127290

What's next in these sequences: (and what are the patterns?)

 {{{3}}}, {{{-6}}}, {{{12}}}, {{{4}}}, {{{20}}}, ?->
 the pattern:


to get from {{{3}}} to {{{-6}}}, add {{{(-9)}}}
to get from {{{-6}}} to {{{12}}}, add{{{ (18)}}})
to get from {{{12}}} to {{{4}}}, add {{{(-8)}}}
to get from {{{4}}} to{{{ 20}}}, add {{{(16)}}}
to get from {{{20}}} to the next one, add {{{(-7)}}} to get {{{13}}}
to get from {{{13}}} to the next one, add {{{(14)}}} to get {{{27}}}...

answer:  {{{13 }}}
{{{3}}}, {{{-6}}}, {{{12}}}, {{{4}}}, {{{20}}}, {{{13}}}



{{{7}}}, {{{16}}}, {{{8}}}, {{{27}}}, {{{9}}},?

the pattern

{{{16/8 = 2}}} 
{{{27/9=3}}} 
?/{{{10=4}}}

 answer:  {{{40}}}

 
{{{7}}}, {{{16}}}, {{{8}}}, {{{27}}}, {{{9}}},{{{40}}} 



 2, 7, 26, 101, 400, ?
{{{2}}}, {{{7}}}, {{{26}}}, {{{101}}}, {{{400}}},?

the pattern ->

{{{2*4 - 1=7}}}
{{{7*4 - 2=26}}}
{{{26*4-3=101}}}
{{{101*4-4=400}}}
{{{400*4-5=1595}}}

answer:{{{1595}}} 
{{{2}}}, {{{7}}}, {{{26}}}, {{{101}}}, {{{400}}},{{{ 1595 }}}


 
{{{7}}}, {{{21}}}, {{{8}}}, {{{72}}}, {{{9}}},?

 the pattern->

{{{7*3=21}}}, 
{{{8*3^2=72}}}
{{{ 9*3^3=243}}}

answer: {{{ 243}}}

{{{7}}}, {{{21}}}, {{{8}}}, {{{72}}}, {{{9}}},{{{243}}}