Question 524216
Formula to find nth geometric term {{{a[n]=a[1]*r^n-1}}}
{{{a[n]}}} = nth term
{{{a[1]}}} = First term
{{{r}}} = Common ratio
{{{n}}} = number of term





{{{a[5]=48}}}
{{{48=a[1]*r^(5-1)}}}
{{{48=a[1]*r^4)}}}
{{{a[1]*r^4=48)}}}
{{{a[1]=48/r^4)}}}...............(1)

{{{a[17]=196608}}}
{{{196608=a[1]*r^(17-1)}}}
{{{196608=a[1]*r^16}}}
{{{a[1]=196608/r^16}}}...........(2)


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


{{{48/r^4=196608/r^16)}}}
{{{r^16/r^4=196608/48)}}}
{{{r^(16-4)=4096)}}}
{{{r^12=4096)}}}
{{{r^12=(2)^12)}}}
{{{r=2)}}}

Put the value of r in (1)
{{{a[1]=48/2^4)}}}
{{{a[1]=48/16}}}
{{{a[1]=3}}}


Put the value of {{{a[1]}}}  and {{{r}}} in the formula for finding nth term in our case it is  {{{a[32]}}}

{{{a[n]=a[1]*r^(n-1)}}}
{{{a[32]=3*(2)^(32-1)}}}
{{{a[32]=3*2^31}}}
{{{a[32]=(3*2147483648)}}}
{{{a[32]=6442450944}}}