Let

$S=2^{m-1}(3^1{)}^2+2^{m-2}(3^2{)}^2+2^{m-3}(3^3{)}^2+$cdots$+2^1(3^{m-1}{)}^2+2^0(3^m{)}^2$

Apply the telescoping technique, as discussed in class, to $S.$

SLIDE $10$

SLIDE $10$:

After applying Telescoping to the equation S in SLIDE $08,$ S becomes:

$S=\frac{a}{b}**[a^m-c^m]$

where $a,b,$ and $c$ are constants

Q$10$: Consider SLIDE $08$ and SLIDE $10.$ Pick the values for $a,b,$ and $c$ below, which are correct for $S.*$

$a=1,b=3,c=9$

$a=7,b=9,c=3$

$a=2,b=7,c=9$

$a=-1,b=3,c=9$

$a=9,b=7,c=2$

$a=9,b=1,c=3$

$a=9,b=3,c=2$

$a=1,b=9,c=2$

$a=-9,b=3,c=2$

$a=7,b=3,c=2$