Question 974220
Give the first five terms of the sequence in which: 
{{{a[1]=4}}},{{{a[n+1] = -2a[n]+3}}} for n > 1
<pre>{{{a[1]=4}}},{{{a[n+1] = -2a[n]+3}}}

Plug in 1 for n, and 4 for a<sub>1</sub> in

{{{a[n+1] = -2a[n]+3}}}
{{{a[1+1] = -2a[1]+3}}}
{{{a[2] = -2(4)+3}}}
{{{a[2] = -8+3}}}
{{{a[2] = -5}}}

Plug in 2 for n, and -5 for a<sub>2</sub> in

{{{a[n+1] = -2a[n]+3}}}
{{{a[2+1] = -2a[2]+3}}}
{{{a[3] = -2(-5)+3}}}
{{{a[3] = 10+3}}}
{{{a[3] = 13}}}

Plug in 3 for n, and 13 for a<sub>3</sub> in

{{{a[n+1] = -2a[n]+3}}}
{{{a[3+1] = -2a[3]+3}}}
{{{a[4] = -2(13)+3}}}
...
You finish!

Plug in 4 for n, and ?? for a<sub>4</sub> in

{{{a[n+1] = -2a[n]+3}}}
{{{a[4+1] = -2a[4]+3}}}
...
You finish!

Edwin</pre>