Question 1161265

given: 
{{{t[n+1] = -1 * t[n ]+ 3}}}

answer options:
A. {{{9}}}, {{{6}}}, {{{-3}}},{{{ 0}}}, {{{3}}},....
B. {{{8}}}, {{{5}}}, {{{-2}}}, {{{3}}},{{{ 0}}}, ...
C. {{{5}}}, {{{2}}},{{{ 1}}}, {{{-2}}},{{{ -5}}}, ...
D. {{{4}}}, {{{-1}}},{{{ 4}}}, {{{-1}}},{{{ 4}}}, ....


check option A.:

if {{{t[1]=9}}}, and {{{n=1}}}

then
{{{t[1+1] = -1 *9+ 3}}}
{{{t[2] = -6}}} =>not true, answer is not A.


check option B.:

if {{{t[1]=8}}}, and {{{n=1}}}

then

{{{t[1+1] = -1 *8+ 3}}}
{{{t[2] = -5}}}=> not true,answer is not B.


check option C.:

if {{{t[1]=5}}}, and {{{n=1}}}

then
{{{t[1+1] = -1 *5+ 3}}}
{{{t[2] = -1}}}=>not true, answer is not C.


check option D.:

if {{{t[1]=4}}}, and {{{n=1}}}

then

{{{t[1+1] = -1*4+ 3}}}
{{{t[2] = -1}}}=>true


check next element in this sequence

if {{{t[2]=-1}}}, and {{{n=2}}}

then
{{{t[2+1] = -1*(-1)+ 3}}}
{{{t[3] = 4}}}=> true

if {{{t[3]=4}}}, and {{{n=3}}}

then
{{{t[3+1] = -1*4+ 3}}}
{{{t[4] = -1}}}=> true


so, answer is D.